Solve for v 7/2v-4=-3/4v-2/3

Math
72v-4=-34v-23
Combine 72 and v.
7v2-4=-34v-23
Simplify each term.
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Combine v and 34.
7v2-4=-v⋅34-23
Move 3 to the left of v.
7v2-4=-3v4-23
7v2-4=-3v4-23
Move all terms containing v to the left side of the equation.
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Add 3v4 to both sides of the equation.
7v2-4+3v4=-23
To write 7v2 as a fraction with a common denominator, multiply by 22.
7v2⋅22+3v4-4=-23
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
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Multiply 7v2 and 22.
7v⋅22⋅2+3v4-4=-23
Multiply 2 by 2.
7v⋅24+3v4-4=-23
7v⋅24+3v4-4=-23
Combine the numerators over the common denominator.
7v⋅2+3v4-4=-23
Simplify each term.
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Simplify the numerator.
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Factor v out of 7v⋅2+3v.
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Factor v out of 7v⋅2.
v(7⋅2)+3v4-4=-23
Factor v out of 3v.
v(7⋅2)+v⋅34-4=-23
Factor v out of v(7⋅2)+v⋅3.
v(7⋅2+3)4-4=-23
v(7⋅2+3)4-4=-23
Multiply 7 by 2.
v(14+3)4-4=-23
Add 14 and 3.
v⋅174-4=-23
v⋅174-4=-23
Move 17 to the left of v.
17v4-4=-23
17v4-4=-23
17v4-4=-23
Move all terms not containing v to the right side of the equation.
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Add 4 to both sides of the equation.
17v4=-23+4
To write 4 as a fraction with a common denominator, multiply by 33.
17v4=-23+4⋅33
Combine 4 and 33.
17v4=-23+4⋅33
Combine the numerators over the common denominator.
17v4=-2+4⋅33
Simplify the numerator.
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Multiply 4 by 3.
17v4=-2+123
Add -2 and 12.
17v4=103
17v4=103
17v4=103
Multiply both sides of the equation by 417.
417⋅17v4=417⋅103
Simplify both sides of the equation.
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Simplify 417⋅17v4.
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Cancel the common factor of 4.
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Cancel the common factor.
417⋅17v4=417⋅103
Rewrite the expression.
117⋅(17v)=417⋅103
117⋅(17v)=417⋅103
Cancel the common factor of 17.
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Factor 17 out of 17v.
117⋅(17(v))=417⋅103
Cancel the common factor.
117⋅(17v)=417⋅103
Rewrite the expression.
v=417⋅103
v=417⋅103
v=417⋅103
Multiply 417⋅103.
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Multiply 417 and 103.
v=4⋅1017⋅3
Multiply 4 by 10.
v=4017⋅3
Multiply 17 by 3.
v=4051
v=4051
v=4051
The result can be shown in multiple forms.
Exact Form:
v=4051
Decimal Form:
v=0.78431372…
Solve for v 7/2v-4=-3/4v-2/3

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