-3-(8v-5)+(6-7v)-1=7-(v-1)+(4v+4)

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Solution for -3-(8v-5)+(6-7v)-1=7-(v-1)+(4v+4) equation:


Simplifying
-3 + -1(8v + -5) + (6 + -7v) + -1 = 7 + -1(v + -1) + (4v + 4)

Reorder the terms:
-3 + -1(-5 + 8v) + (6 + -7v) + -1 = 7 + -1(v + -1) + (4v + 4)
-3 + (-5 * -1 + 8v * -1) + (6 + -7v) + -1 = 7 + -1(v + -1) + (4v + 4)
-3 + (5 + -8v) + (6 + -7v) + -1 = 7 + -1(v + -1) + (4v + 4)

Remove parenthesis around (6 + -7v)
-3 + 5 + -8v + 6 + -7v + -1 = 7 + -1(v + -1) + (4v + 4)

Reorder the terms:
-3 + 5 + 6 + -1 + -8v + -7v = 7 + -1(v + -1) + (4v + 4)

Combine like terms: -3 + 5 = 2
2 + 6 + -1 + -8v + -7v = 7 + -1(v + -1) + (4v + 4)

Combine like terms: 2 + 6 = 8
8 + -1 + -8v + -7v = 7 + -1(v + -1) + (4v + 4)

Combine like terms: 8 + -1 = 7
7 + -8v + -7v = 7 + -1(v + -1) + (4v + 4)

Combine like terms: -8v + -7v = -15v
7 + -15v = 7 + -1(v + -1) + (4v + 4)

Reorder the terms:
7 + -15v = 7 + -1(-1 + v) + (4v + 4)
7 + -15v = 7 + (-1 * -1 + v * -1) + (4v + 4)
7 + -15v = 7 + (1 + -1v) + (4v + 4)

Reorder the terms:
7 + -15v = 7 + 1 + -1v + (4 + 4v)

Remove parenthesis around (4 + 4v)
7 + -15v = 7 + 1 + -1v + 4 + 4v

Reorder the terms:
7 + -15v = 7 + 1 + 4 + -1v + 4v

Combine like terms: 7 + 1 = 8
7 + -15v = 8 + 4 + -1v + 4v

Combine like terms: 8 + 4 = 12
7 + -15v = 12 + -1v + 4v

Combine like terms: -1v + 4v = 3v
7 + -15v = 12 + 3v

Solving
7 + -15v = 12 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
7 + -15v + -3v = 12 + 3v + -3v

Combine like terms: -15v + -3v = -18v
7 + -18v = 12 + 3v + -3v

Combine like terms: 3v + -3v = 0
7 + -18v = 12 + 0
7 + -18v = 12

Add '-7' to each side of the equation.
7 + -7 + -18v = 12 + -7

Combine like terms: 7 + -7 = 0
0 + -18v = 12 + -7
-18v = 12 + -7

Combine like terms: 12 + -7 = 5
-18v = 5

Divide each side by '-18'.
v = -0.2777777778

Simplifying
v = -0.2777777778

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