2(4v-2)-4(1-2v)=-32

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Solution for 2(4v-2)-4(1-2v)=-32 equation: 


Simplifying
2(4v + -2) + -4(1 + -2v) = -32

Reorder the terms:
2(-2 + 4v) + -4(1 + -2v) = -32
(-2 * 2 + 4v * 2) + -4(1 + -2v) = -32
(-4 + 8v) + -4(1 + -2v) = -32
-4 + 8v + (1 * -4 + -2v * -4) = -32
-4 + 8v + (-4 + 8v) = -32

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

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

Combine like terms: 8v + 8v = 16v
-8 + 16v = -32

Solving
-8 + 16v = -32

Solving for variable 'v'.

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

Add '8' to each side of the equation.
-8 + 8 + 16v = -32 + 8

Combine like terms: -8 + 8 = 0
0 + 16v = -32 + 8
16v = -32 + 8

Combine like terms: -32 + 8 = -24
16v = -24

Divide each side by '16'.
v = -1.5

Simplifying
v = -1.5

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