7-5(-5v-12)=17v-13

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Solution for 7-5(-5v-12)=17v-13 equation:


Simplifying
7 + -5(-5v + -12) = 17v + -13

Reorder the terms:
7 + -5(-12 + -5v) = 17v + -13
7 + (-12 * -5 + -5v * -5) = 17v + -13
7 + (60 + 25v) = 17v + -13

Combine like terms: 7 + 60 = 67
67 + 25v = 17v + -13

Reorder the terms:
67 + 25v = -13 + 17v

Solving
67 + 25v = -13 + 17v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-17v' to each side of the equation.
67 + 25v + -17v = -13 + 17v + -17v

Combine like terms: 25v + -17v = 8v
67 + 8v = -13 + 17v + -17v

Combine like terms: 17v + -17v = 0
67 + 8v = -13 + 0
67 + 8v = -13

Add '-67' to each side of the equation.
67 + -67 + 8v = -13 + -67

Combine like terms: 67 + -67 = 0
0 + 8v = -13 + -67
8v = -13 + -67

Combine like terms: -13 + -67 = -80
8v = -80

Divide each side by '8'.
v = -10

Simplifying
v = -10

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