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

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


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

Reorder the terms:
-7(7 + v) = -3(6v + -2)
(7 * -7 + v * -7) = -3(6v + -2)
(-49 + -7v) = -3(6v + -2)

Reorder the terms:
-49 + -7v = -3(-2 + 6v)
-49 + -7v = (-2 * -3 + 6v * -3)
-49 + -7v = (6 + -18v)

Solving
-49 + -7v = 6 + -18v

Solving for variable 'v'.

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

Add '18v' to each side of the equation.
-49 + -7v + 18v = 6 + -18v + 18v

Combine like terms: -7v + 18v = 11v
-49 + 11v = 6 + -18v + 18v

Combine like terms: -18v + 18v = 0
-49 + 11v = 6 + 0
-49 + 11v = 6

Add '49' to each side of the equation.
-49 + 49 + 11v = 6 + 49

Combine like terms: -49 + 49 = 0
0 + 11v = 6 + 49
11v = 6 + 49

Combine like terms: 6 + 49 = 55
11v = 55

Divide each side by '11'.
v = 5

Simplifying
v = 5

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