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

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


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

Reorder the terms:
8(8 + -1v) = -4v + -4(7v + 8)
(8 * 8 + -1v * 8) = -4v + -4(7v + 8)
(64 + -8v) = -4v + -4(7v + 8)

Reorder the terms:
64 + -8v = -4v + -4(8 + 7v)
64 + -8v = -4v + (8 * -4 + 7v * -4)
64 + -8v = -4v + (-32 + -28v)

Reorder the terms:
64 + -8v = -32 + -4v + -28v

Combine like terms: -4v + -28v = -32v
64 + -8v = -32 + -32v

Solving
64 + -8v = -32 + -32v

Solving for variable 'v'.

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

Add '32v' to each side of the equation.
64 + -8v + 32v = -32 + -32v + 32v

Combine like terms: -8v + 32v = 24v
64 + 24v = -32 + -32v + 32v

Combine like terms: -32v + 32v = 0
64 + 24v = -32 + 0
64 + 24v = -32

Add '-64' to each side of the equation.
64 + -64 + 24v = -32 + -64

Combine like terms: 64 + -64 = 0
0 + 24v = -32 + -64
24v = -32 + -64

Combine like terms: -32 + -64 = -96
24v = -96

Divide each side by '24'.
v = -4

Simplifying
v = -4

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