# Solve for v v/5=v/4+3

v5=v4+3
Multiply both sides of the equation by 5.
v=v4⋅(5)+3⋅(5)
Simplify each term.
Combine v4 and 5.
v=v⋅54+3⋅(5)
Move 5 to the left of v.
v=5⋅v4+3⋅(5)
Multiply 3 by 5.
v=5v4+15
v=5v4+15
Move all terms containing v to the left side of the equation.
Subtract 5v4 from both sides of the equation.
v-5v4=15
To write v as a fraction with a common denominator, multiply by 44.
v⋅44-5v4=15
Combine v and 44.
v⋅44-5v4=15
Combine the numerators over the common denominator.
v⋅4-5v4=15
Simplify the numerator.
Move 4 to the left of v.
4⋅v-5v4=15
Subtract 5v from 4v.
-v4=15
-v4=15
Move the negative in front of the fraction.
-v4=15
-v4=15
Multiply both sides of the equation by -4.
-4⋅(-v4)=-4⋅15
Simplify both sides of the equation.
Simplify -4⋅(-v4).
Cancel the common factor of 4.
Move the leading negative in -v4 into the numerator.
-4⋅-v4=-4⋅15
Factor 4 out of -4.
4(-1)⋅-v4=-4⋅15
Cancel the common factor.
4⋅-1⋅-v4=-4⋅15
Rewrite the expression.
-1⋅(-v)=-4⋅15
-1⋅(-v)=-4⋅15
Multiply.
Multiply -1 by -1.
1⋅v=-4⋅15
Multiply v by 1.
v=-4⋅15
v=-4⋅15
v=-4⋅15
Multiply -4 by 15.
v=-60
v=-60
Solve for v v/5=v/4+3

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