8v+5(1+7v)=-2v-40

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Solution for 8v+5(1+7v)=-2v-40 equation: 


Simplifying
8v + 5(1 + 7v) = -2v + -40
8v + (1 * 5 + 7v * 5) = -2v + -40
8v + (5 + 35v) = -2v + -40

Reorder the terms:
5 + 8v + 35v = -2v + -40

Combine like terms: 8v + 35v = 43v
5 + 43v = -2v + -40

Reorder the terms:
5 + 43v = -40 + -2v

Solving
5 + 43v = -40 + -2v

Solving for variable 'v'.

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

Add '2v' to each side of the equation.
5 + 43v + 2v = -40 + -2v + 2v

Combine like terms: 43v + 2v = 45v
5 + 45v = -40 + -2v + 2v

Combine like terms: -2v + 2v = 0
5 + 45v = -40 + 0
5 + 45v = -40

Add '-5' to each side of the equation.
5 + -5 + 45v = -40 + -5

Combine like terms: 5 + -5 = 0
0 + 45v = -40 + -5
45v = -40 + -5

Combine like terms: -40 + -5 = -45
45v = -45

Divide each side by '45'.
v = -1

Simplifying
v = -1

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