2(v+9)=6v+14

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Solution for 2(v+9)=6v+14 equation:


Simplifying
2(v + 9) = 6v + 14

Reorder the terms:
2(9 + v) = 6v + 14
(9 * 2 + v * 2) = 6v + 14
(18 + 2v) = 6v + 14

Reorder the terms:
18 + 2v = 14 + 6v

Solving
18 + 2v = 14 + 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.
18 + 2v + -6v = 14 + 6v + -6v

Combine like terms: 2v + -6v = -4v
18 + -4v = 14 + 6v + -6v

Combine like terms: 6v + -6v = 0
18 + -4v = 14 + 0
18 + -4v = 14

Add '-18' to each side of the equation.
18 + -18 + -4v = 14 + -18

Combine like terms: 18 + -18 = 0
0 + -4v = 14 + -18
-4v = 14 + -18

Combine like terms: 14 + -18 = -4
-4v = -4

Divide each side by '-4'.
v = 1

Simplifying
v = 1

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