-7(-4v-20)-13v=-17-v-19

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Solution for -7(-4v-20)-13v=-17-v-19 equation:


Simplifying
-7(-4v + -20) + -13v = -17 + -1v + -19

Reorder the terms:
-7(-20 + -4v) + -13v = -17 + -1v + -19
(-20 * -7 + -4v * -7) + -13v = -17 + -1v + -19
(140 + 28v) + -13v = -17 + -1v + -19

Combine like terms: 28v + -13v = 15v
140 + 15v = -17 + -1v + -19

Reorder the terms:
140 + 15v = -17 + -19 + -1v

Combine like terms: -17 + -19 = -36
140 + 15v = -36 + -1v

Solving
140 + 15v = -36 + -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.
140 + 15v + v = -36 + -1v + v

Combine like terms: 15v + v = 16v
140 + 16v = -36 + -1v + v

Combine like terms: -1v + v = 0
140 + 16v = -36 + 0
140 + 16v = -36

Add '-140' to each side of the equation.
140 + -140 + 16v = -36 + -140

Combine like terms: 140 + -140 = 0
0 + 16v = -36 + -140
16v = -36 + -140

Combine like terms: -36 + -140 = -176
16v = -176

Divide each side by '16'.
v = -11

Simplifying
v = -11

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