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

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


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

Reorder the terms:
v + -7 + 2(3 + 7v) = -3(v + 3)
v + -7 + (3 * 2 + 7v * 2) = -3(v + 3)
v + -7 + (6 + 14v) = -3(v + 3)

Reorder the terms:
-7 + 6 + v + 14v = -3(v + 3)

Combine like terms: -7 + 6 = -1
-1 + v + 14v = -3(v + 3)

Combine like terms: v + 14v = 15v
-1 + 15v = -3(v + 3)

Reorder the terms:
-1 + 15v = -3(3 + v)
-1 + 15v = (3 * -3 + v * -3)
-1 + 15v = (-9 + -3v)

Solving
-1 + 15v = -9 + -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.
-1 + 15v + 3v = -9 + -3v + 3v

Combine like terms: 15v + 3v = 18v
-1 + 18v = -9 + -3v + 3v

Combine like terms: -3v + 3v = 0
-1 + 18v = -9 + 0
-1 + 18v = -9

Add '1' to each side of the equation.
-1 + 1 + 18v = -9 + 1

Combine like terms: -1 + 1 = 0
0 + 18v = -9 + 1
18v = -9 + 1

Combine like terms: -9 + 1 = -8
18v = -8

Divide each side by '18'.
v = -0.4444444444

Simplifying
v = -0.4444444444

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