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

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


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

Reorder the terms:
-6(3 + v) + 3v + 5 = 7v + 12
(3 * -6 + v * -6) + 3v + 5 = 7v + 12
(-18 + -6v) + 3v + 5 = 7v + 12

Reorder the terms:
-18 + 5 + -6v + 3v = 7v + 12

Combine like terms: -18 + 5 = -13
-13 + -6v + 3v = 7v + 12

Combine like terms: -6v + 3v = -3v
-13 + -3v = 7v + 12

Reorder the terms:
-13 + -3v = 12 + 7v

Solving
-13 + -3v = 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.
-13 + -3v + -7v = 12 + 7v + -7v

Combine like terms: -3v + -7v = -10v
-13 + -10v = 12 + 7v + -7v

Combine like terms: 7v + -7v = 0
-13 + -10v = 12 + 0
-13 + -10v = 12

Add '13' to each side of the equation.
-13 + 13 + -10v = 12 + 13

Combine like terms: -13 + 13 = 0
0 + -10v = 12 + 13
-10v = 12 + 13

Combine like terms: 12 + 13 = 25
-10v = 25

Divide each side by '-10'.
v = -2.5

Simplifying
v = -2.5

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