6+6(v+3)=21+7v

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Solution for 6+6(v+3)=21+7v equation:


Simplifying
6 + 6(v + 3) = 21 + 7v

Reorder the terms:
6 + 6(3 + v) = 21 + 7v
6 + (3 * 6 + v * 6) = 21 + 7v
6 + (18 + 6v) = 21 + 7v

Combine like terms: 6 + 18 = 24
24 + 6v = 21 + 7v

Solving
24 + 6v = 21 + 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.
24 + 6v + -7v = 21 + 7v + -7v

Combine like terms: 6v + -7v = -1v
24 + -1v = 21 + 7v + -7v

Combine like terms: 7v + -7v = 0
24 + -1v = 21 + 0
24 + -1v = 21

Add '-24' to each side of the equation.
24 + -24 + -1v = 21 + -24

Combine like terms: 24 + -24 = 0
0 + -1v = 21 + -24
-1v = 21 + -24

Combine like terms: 21 + -24 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3

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