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

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


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

Reorder the terms:
-9(4 + v) + 4v + 6 = 6v + 7
(4 * -9 + v * -9) + 4v + 6 = 6v + 7
(-36 + -9v) + 4v + 6 = 6v + 7

Reorder the terms:
-36 + 6 + -9v + 4v = 6v + 7

Combine like terms: -36 + 6 = -30
-30 + -9v + 4v = 6v + 7

Combine like terms: -9v + 4v = -5v
-30 + -5v = 6v + 7

Reorder the terms:
-30 + -5v = 7 + 6v

Solving
-30 + -5v = 7 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
-30 + -5v + -6v = 7 + 6v + -6v

Combine like terms: -5v + -6v = -11v
-30 + -11v = 7 + 6v + -6v

Combine like terms: 6v + -6v = 0
-30 + -11v = 7 + 0
-30 + -11v = 7

Add '30' to each side of the equation.
-30 + 30 + -11v = 7 + 30

Combine like terms: -30 + 30 = 0
0 + -11v = 7 + 30
-11v = 7 + 30

Combine like terms: 7 + 30 = 37
-11v = 37

Divide each side by '-11'.
v = -3.363636364

Simplifying
v = -3.363636364

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