-6(v+4)+2v+7=8v+9

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Solution for -6(v+4)+2v+7=8v+9 equation:


Simplifying
-6(v + 4) + 2v + 7 = 8v + 9

Reorder the terms:
-6(4 + v) + 2v + 7 = 8v + 9
(4 * -6 + v * -6) + 2v + 7 = 8v + 9
(-24 + -6v) + 2v + 7 = 8v + 9

Reorder the terms:
-24 + 7 + -6v + 2v = 8v + 9

Combine like terms: -24 + 7 = -17
-17 + -6v + 2v = 8v + 9

Combine like terms: -6v + 2v = -4v
-17 + -4v = 8v + 9

Reorder the terms:
-17 + -4v = 9 + 8v

Solving
-17 + -4v = 9 + 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.
-17 + -4v + -8v = 9 + 8v + -8v

Combine like terms: -4v + -8v = -12v
-17 + -12v = 9 + 8v + -8v

Combine like terms: 8v + -8v = 0
-17 + -12v = 9 + 0
-17 + -12v = 9

Add '17' to each side of the equation.
-17 + 17 + -12v = 9 + 17

Combine like terms: -17 + 17 = 0
0 + -12v = 9 + 17
-12v = 9 + 17

Combine like terms: 9 + 17 = 26
-12v = 26

Divide each side by '-12'.
v = -2.166666667

Simplifying
v = -2.166666667

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