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

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


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

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

Reorder the terms:
14 + 6 + 7v + 2v = 7v + 7

Combine like terms: 14 + 6 = 20
20 + 7v + 2v = 7v + 7

Combine like terms: 7v + 2v = 9v
20 + 9v = 7v + 7

Reorder the terms:
20 + 9v = 7 + 7v

Solving
20 + 9v = 7 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
20 + 9v + -7v = 7 + 7v + -7v

Combine like terms: 9v + -7v = 2v
20 + 2v = 7 + 7v + -7v

Combine like terms: 7v + -7v = 0
20 + 2v = 7 + 0
20 + 2v = 7

Add '-20' to each side of the equation.
20 + -20 + 2v = 7 + -20

Combine like terms: 20 + -20 = 0
0 + 2v = 7 + -20
2v = 7 + -20

Combine like terms: 7 + -20 = -13
2v = -13

Divide each side by '2'.
v = -6.5

Simplifying
v = -6.5

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