-7(5v-2)+2(v-7)=7v-8v

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Solution for -7(5v-2)+2(v-7)=7v-8v equation:


Simplifying
-7(5v + -2) + 2(v + -7) = 7v + -8v

Reorder the terms:
-7(-2 + 5v) + 2(v + -7) = 7v + -8v
(-2 * -7 + 5v * -7) + 2(v + -7) = 7v + -8v
(14 + -35v) + 2(v + -7) = 7v + -8v

Reorder the terms:
14 + -35v + 2(-7 + v) = 7v + -8v
14 + -35v + (-7 * 2 + v * 2) = 7v + -8v
14 + -35v + (-14 + 2v) = 7v + -8v

Reorder the terms:
14 + -14 + -35v + 2v = 7v + -8v

Combine like terms: 14 + -14 = 0
0 + -35v + 2v = 7v + -8v
-35v + 2v = 7v + -8v

Combine like terms: -35v + 2v = -33v
-33v = 7v + -8v

Combine like terms: 7v + -8v = -1v
-33v = -1v

Solving
-33v = -1v

Solving for variable 'v'.

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

Add 'v' to each side of the equation.
-33v + v = -1v + v

Combine like terms: -33v + v = -32v
-32v = -1v + v

Combine like terms: -1v + v = 0
-32v = 0

Divide each side by '-32'.
v = 0

Simplifying
v = 0

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