-5(v+3)+3v+6=7v+12

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Solution for -5(v+3)+3v+6=7v+12 equation:


Simplifying
-5(v + 3) + 3v + 6 = 7v + 12

Reorder the terms:
-5(3 + v) + 3v + 6 = 7v + 12
(3 * -5 + v * -5) + 3v + 6 = 7v + 12
(-15 + -5v) + 3v + 6 = 7v + 12

Reorder the terms:
-15 + 6 + -5v + 3v = 7v + 12

Combine like terms: -15 + 6 = -9
-9 + -5v + 3v = 7v + 12

Combine like terms: -5v + 3v = -2v
-9 + -2v = 7v + 12

Reorder the terms:
-9 + -2v = 12 + 7v

Solving
-9 + -2v = 12 + 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.
-9 + -2v + -7v = 12 + 7v + -7v

Combine like terms: -2v + -7v = -9v
-9 + -9v = 12 + 7v + -7v

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

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

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

Combine like terms: 12 + 9 = 21
-9v = 21

Divide each side by '-9'.
v = -2.333333333

Simplifying
v = -2.333333333

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