v+17=-5(8v+5)-v

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Solution for v+17=-5(8v+5)-v equation: 


Simplifying
v + 17 = -5(8v + 5) + -1v

Reorder the terms:
17 + v = -5(8v + 5) + -1v

Reorder the terms:
17 + v = -5(5 + 8v) + -1v
17 + v = (5 * -5 + 8v * -5) + -1v
17 + v = (-25 + -40v) + -1v

Combine like terms: -40v + -1v = -41v
17 + v = -25 + -41v

Solving
17 + v = -25 + -41v

Solving for variable 'v'.

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

Add '41v' to each side of the equation.
17 + v + 41v = -25 + -41v + 41v

Combine like terms: v + 41v = 42v
17 + 42v = -25 + -41v + 41v

Combine like terms: -41v + 41v = 0
17 + 42v = -25 + 0
17 + 42v = -25

Add '-17' to each side of the equation.
17 + -17 + 42v = -25 + -17

Combine like terms: 17 + -17 = 0
0 + 42v = -25 + -17
42v = -25 + -17

Combine like terms: -25 + -17 = -42
42v = -42

Divide each side by '42'.
v = -1

Simplifying
v = -1

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