-7(v+3)+4v+6=8v+7

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Solution for -7(v+3)+4v+6=8v+7 equation:


Simplifying
-7(v + 3) + 4v + 6 = 8v + 7

Reorder the terms:
-7(3 + v) + 4v + 6 = 8v + 7
(3 * -7 + v * -7) + 4v + 6 = 8v + 7
(-21 + -7v) + 4v + 6 = 8v + 7

Reorder the terms:
-21 + 6 + -7v + 4v = 8v + 7

Combine like terms: -21 + 6 = -15
-15 + -7v + 4v = 8v + 7

Combine like terms: -7v + 4v = -3v
-15 + -3v = 8v + 7

Reorder the terms:
-15 + -3v = 7 + 8v

Solving
-15 + -3v = 7 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
-15 + -3v + -8v = 7 + 8v + -8v

Combine like terms: -3v + -8v = -11v
-15 + -11v = 7 + 8v + -8v

Combine like terms: 8v + -8v = 0
-15 + -11v = 7 + 0
-15 + -11v = 7

Add '15' to each side of the equation.
-15 + 15 + -11v = 7 + 15

Combine like terms: -15 + 15 = 0
0 + -11v = 7 + 15
-11v = 7 + 15

Combine like terms: 7 + 15 = 22
-11v = 22

Divide each side by '-11'.
v = -2

Simplifying
v = -2

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