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

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


Simplifying
40 + -7v = -2(-1 + 8v) + 2
40 + -7v = (-1 * -2 + 8v * -2) + 2
40 + -7v = (2 + -16v) + 2

Reorder the terms:
40 + -7v = 2 + 2 + -16v

Combine like terms: 2 + 2 = 4
40 + -7v = 4 + -16v

Solving
40 + -7v = 4 + -16v

Solving for variable 'v'.

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

Add '16v' to each side of the equation.
40 + -7v + 16v = 4 + -16v + 16v

Combine like terms: -7v + 16v = 9v
40 + 9v = 4 + -16v + 16v

Combine like terms: -16v + 16v = 0
40 + 9v = 4 + 0
40 + 9v = 4

Add '-40' to each side of the equation.
40 + -40 + 9v = 4 + -40

Combine like terms: 40 + -40 = 0
0 + 9v = 4 + -40
9v = 4 + -40

Combine like terms: 4 + -40 = -36
9v = -36

Divide each side by '9'.
v = -4

Simplifying
v = -4

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