-7(v+1)=3v-7+2(2v+8)

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Solution for -7(v+1)=3v-7+2(2v+8) equation:


Simplifying
-7(v + 1) = 3v + -7 + 2(2v + 8)

Reorder the terms:
-7(1 + v) = 3v + -7 + 2(2v + 8)
(1 * -7 + v * -7) = 3v + -7 + 2(2v + 8)
(-7 + -7v) = 3v + -7 + 2(2v + 8)

Reorder the terms:
-7 + -7v = 3v + -7 + 2(8 + 2v)
-7 + -7v = 3v + -7 + (8 * 2 + 2v * 2)
-7 + -7v = 3v + -7 + (16 + 4v)

Reorder the terms:
-7 + -7v = -7 + 16 + 3v + 4v

Combine like terms: -7 + 16 = 9
-7 + -7v = 9 + 3v + 4v

Combine like terms: 3v + 4v = 7v
-7 + -7v = 9 + 7v

Solving
-7 + -7v = 9 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
-7 + -7v + -7v = 9 + 7v + -7v

Combine like terms: -7v + -7v = -14v
-7 + -14v = 9 + 7v + -7v

Combine like terms: 7v + -7v = 0
-7 + -14v = 9 + 0
-7 + -14v = 9

Add '7' to each side of the equation.
-7 + 7 + -14v = 9 + 7

Combine like terms: -7 + 7 = 0
0 + -14v = 9 + 7
-14v = 9 + 7

Combine like terms: 9 + 7 = 16
-14v = 16

Divide each side by '-14'.
v = -1.142857143

Simplifying
v = -1.142857143

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