3(4v+1)-3(2v+3)=2(v-7)+4

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Solution for 3(4v+1)-3(2v+3)=2(v-7)+4 equation:


Simplifying
3(4v + 1) + -3(2v + 3) = 2(v + -7) + 4

Reorder the terms:
3(1 + 4v) + -3(2v + 3) = 2(v + -7) + 4
(1 * 3 + 4v * 3) + -3(2v + 3) = 2(v + -7) + 4
(3 + 12v) + -3(2v + 3) = 2(v + -7) + 4

Reorder the terms:
3 + 12v + -3(3 + 2v) = 2(v + -7) + 4
3 + 12v + (3 * -3 + 2v * -3) = 2(v + -7) + 4
3 + 12v + (-9 + -6v) = 2(v + -7) + 4

Reorder the terms:
3 + -9 + 12v + -6v = 2(v + -7) + 4

Combine like terms: 3 + -9 = -6
-6 + 12v + -6v = 2(v + -7) + 4

Combine like terms: 12v + -6v = 6v
-6 + 6v = 2(v + -7) + 4

Reorder the terms:
-6 + 6v = 2(-7 + v) + 4
-6 + 6v = (-7 * 2 + v * 2) + 4
-6 + 6v = (-14 + 2v) + 4

Reorder the terms:
-6 + 6v = -14 + 4 + 2v

Combine like terms: -14 + 4 = -10
-6 + 6v = -10 + 2v

Solving
-6 + 6v = -10 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
-6 + 6v + -2v = -10 + 2v + -2v

Combine like terms: 6v + -2v = 4v
-6 + 4v = -10 + 2v + -2v

Combine like terms: 2v + -2v = 0
-6 + 4v = -10 + 0
-6 + 4v = -10

Add '6' to each side of the equation.
-6 + 6 + 4v = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 4v = -10 + 6
4v = -10 + 6

Combine like terms: -10 + 6 = -4
4v = -4

Divide each side by '4'.
v = -1

Simplifying
v = -1

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