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

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


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

Reorder the terms:
-3(5 + -7v) + -6v = 3(v + -5) + -4
(5 * -3 + -7v * -3) + -6v = 3(v + -5) + -4
(-15 + 21v) + -6v = 3(v + -5) + -4

Combine like terms: 21v + -6v = 15v
-15 + 15v = 3(v + -5) + -4

Reorder the terms:
-15 + 15v = 3(-5 + v) + -4
-15 + 15v = (-5 * 3 + v * 3) + -4
-15 + 15v = (-15 + 3v) + -4

Reorder the terms:
-15 + 15v = -15 + -4 + 3v

Combine like terms: -15 + -4 = -19
-15 + 15v = -19 + 3v

Solving
-15 + 15v = -19 + 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.
-15 + 15v + -3v = -19 + 3v + -3v

Combine like terms: 15v + -3v = 12v
-15 + 12v = -19 + 3v + -3v

Combine like terms: 3v + -3v = 0
-15 + 12v = -19 + 0
-15 + 12v = -19

Add '15' to each side of the equation.
-15 + 15 + 12v = -19 + 15

Combine like terms: -15 + 15 = 0
0 + 12v = -19 + 15
12v = -19 + 15

Combine like terms: -19 + 15 = -4
12v = -4

Divide each side by '12'.
v = -0.3333333333

Simplifying
v = -0.3333333333

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