-7(-4v+3)-6v=4(v-7)-2

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Solution for -7(-4v+3)-6v=4(v-7)-2 equation:


Simplifying
-7(-4v + 3) + -6v = 4(v + -7) + -2

Reorder the terms:
-7(3 + -4v) + -6v = 4(v + -7) + -2
(3 * -7 + -4v * -7) + -6v = 4(v + -7) + -2
(-21 + 28v) + -6v = 4(v + -7) + -2

Combine like terms: 28v + -6v = 22v
-21 + 22v = 4(v + -7) + -2

Reorder the terms:
-21 + 22v = 4(-7 + v) + -2
-21 + 22v = (-7 * 4 + v * 4) + -2
-21 + 22v = (-28 + 4v) + -2

Reorder the terms:
-21 + 22v = -28 + -2 + 4v

Combine like terms: -28 + -2 = -30
-21 + 22v = -30 + 4v

Solving
-21 + 22v = -30 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
-21 + 22v + -4v = -30 + 4v + -4v

Combine like terms: 22v + -4v = 18v
-21 + 18v = -30 + 4v + -4v

Combine like terms: 4v + -4v = 0
-21 + 18v = -30 + 0
-21 + 18v = -30

Add '21' to each side of the equation.
-21 + 21 + 18v = -30 + 21

Combine like terms: -21 + 21 = 0
0 + 18v = -30 + 21
18v = -30 + 21

Combine like terms: -30 + 21 = -9
18v = -9

Divide each side by '18'.
v = -0.5

Simplifying
v = -0.5

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