-7(1+v)=-4(v+8)-8

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Solution for -7(1+v)=-4(v+8)-8 equation: 


Simplifying
-7(1 + v) = -4(v + 8) + -8
(1 * -7 + v * -7) = -4(v + 8) + -8
(-7 + -7v) = -4(v + 8) + -8

Reorder the terms:
-7 + -7v = -4(8 + v) + -8
-7 + -7v = (8 * -4 + v * -4) + -8
-7 + -7v = (-32 + -4v) + -8

Reorder the terms:
-7 + -7v = -32 + -8 + -4v

Combine like terms: -32 + -8 = -40
-7 + -7v = -40 + -4v

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

Solving for variable 'v'.

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

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

Combine like terms: -7v + 4v = -3v
-7 + -3v = -40 + -4v + 4v

Combine like terms: -4v + 4v = 0
-7 + -3v = -40 + 0
-7 + -3v = -40

Add '7' to each side of the equation.
-7 + 7 + -3v = -40 + 7

Combine like terms: -7 + 7 = 0
0 + -3v = -40 + 7
-3v = -40 + 7

Combine like terms: -40 + 7 = -33
-3v = -33

Divide each side by '-3'.
v = 11

Simplifying
v = 11

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