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

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


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

Reorder the terms:
4v + 4(4 + 7v) = 8(v + -4)
4v + (4 * 4 + 7v * 4) = 8(v + -4)
4v + (16 + 28v) = 8(v + -4)

Reorder the terms:
16 + 4v + 28v = 8(v + -4)

Combine like terms: 4v + 28v = 32v
16 + 32v = 8(v + -4)

Reorder the terms:
16 + 32v = 8(-4 + v)
16 + 32v = (-4 * 8 + v * 8)
16 + 32v = (-32 + 8v)

Solving
16 + 32v = -32 + 8v

Solving for variable 'v'.

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

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

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

Combine like terms: 8v + -8v = 0
16 + 24v = -32 + 0
16 + 24v = -32

Add '-16' to each side of the equation.
16 + -16 + 24v = -32 + -16

Combine like terms: 16 + -16 = 0
0 + 24v = -32 + -16
24v = -32 + -16

Combine like terms: -32 + -16 = -48
24v = -48

Divide each side by '24'.
v = -2

Simplifying
v = -2

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