6(3v+3)+3=6v-27

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Solution for 6(3v+3)+3=6v-27 equation:


Simplifying
6(3v + 3) + 3 = 6v + -27

Reorder the terms:
6(3 + 3v) + 3 = 6v + -27
(3 * 6 + 3v * 6) + 3 = 6v + -27
(18 + 18v) + 3 = 6v + -27

Reorder the terms:
18 + 3 + 18v = 6v + -27

Combine like terms: 18 + 3 = 21
21 + 18v = 6v + -27

Reorder the terms:
21 + 18v = -27 + 6v

Solving
21 + 18v = -27 + 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.
21 + 18v + -6v = -27 + 6v + -6v

Combine like terms: 18v + -6v = 12v
21 + 12v = -27 + 6v + -6v

Combine like terms: 6v + -6v = 0
21 + 12v = -27 + 0
21 + 12v = -27

Add '-21' to each side of the equation.
21 + -21 + 12v = -27 + -21

Combine like terms: 21 + -21 = 0
0 + 12v = -27 + -21
12v = -27 + -21

Combine like terms: -27 + -21 = -48
12v = -48

Divide each side by '12'.
v = -4

Simplifying
v = -4

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