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

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


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

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

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

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

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

Reorder the terms:
-30 + -5v = 9 + 7v

Solving
-30 + -5v = 9 + 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.
-30 + -5v + -7v = 9 + 7v + -7v

Combine like terms: -5v + -7v = -12v
-30 + -12v = 9 + 7v + -7v

Combine like terms: 7v + -7v = 0
-30 + -12v = 9 + 0
-30 + -12v = 9

Add '30' to each side of the equation.
-30 + 30 + -12v = 9 + 30

Combine like terms: -30 + 30 = 0
0 + -12v = 9 + 30
-12v = 9 + 30

Combine like terms: 9 + 30 = 39
-12v = 39

Divide each side by '-12'.
v = -3.25

Simplifying
v = -3.25

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