Solve for z 3z-5(-219/53)+3*(15/53)=12

Math
3z-5(-21953)+3⋅(1553)=12
Simplify 3z-5(-21953)+3⋅(1553).
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Simplify each term.
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Multiply -5(-21953).
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Multiply -1 by -5.
3z+5(21953)+3⋅(1553)=12
Combine 5 and 21953.
3z+5⋅21953+3⋅(1553)=12
Multiply 5 by 219.
3z+109553+3⋅(1553)=12
3z+109553+3⋅(1553)=12
Multiply 3(1553).
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Combine 3 and 1553.
3z+109553+3⋅1553=12
Multiply 3 by 15.
3z+109553+4553=12
3z+109553+4553=12
3z+109553+4553=12
Combine fractions.
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Combine fractions with similar denominators.
3z+1095+4553=12
Add 1095 and 45.
3z+114053=12
3z+114053=12
3z+114053=12
Move all terms not containing z to the right side of the equation.
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Subtract 114053 from both sides of the equation.
3z=12-114053
To write 12 as a fraction with a common denominator, multiply by 5353.
3z=12⋅5353-114053
Combine 12 and 5353.
3z=12⋅5353-114053
Combine the numerators over the common denominator.
3z=12⋅53-114053
Simplify the numerator.
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Multiply 12 by 53.
3z=636-114053
Subtract 1140 from 636.
3z=-50453
3z=-50453
Move the negative in front of the fraction.
3z=-50453
3z=-50453
Divide each term by 3 and simplify.
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Divide each term in 3z=-50453 by 3.
3z3=-50453⋅13
Cancel the common factor of 3.
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Cancel the common factor.
3z3=-50453⋅13
Divide z by 1.
z=-50453⋅13
z=-50453⋅13
Simplify -50453⋅13.
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Cancel the common factor of 3.
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Move the leading negative in -50453 into the numerator.
z=-50453⋅13
Factor 3 out of -504.
z=3(-168)53⋅13
Cancel the common factor.
z=3⋅-16853⋅13
Rewrite the expression.
z=-16853
z=-16853
Move the negative in front of the fraction.
z=-16853
z=-16853
z=-16853
The result can be shown in multiple forms.
Exact Form:
z=-16853
Decimal Form:
z=-3.16981132…
Mixed Number Form:
z=-3953
Solve for z 3z-5(-219/53)+3*(15/53)=12

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