6(-v+3)=16-7v

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Solution for 6(-v+3)=16-7v equation:


Simplifying
6(-1v + 3) = 16 + -7v

Reorder the terms:
6(3 + -1v) = 16 + -7v
(3 * 6 + -1v * 6) = 16 + -7v
(18 + -6v) = 16 + -7v

Solving
18 + -6v = 16 + -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.
18 + -6v + 7v = 16 + -7v + 7v

Combine like terms: -6v + 7v = 1v
18 + 1v = 16 + -7v + 7v

Combine like terms: -7v + 7v = 0
18 + 1v = 16 + 0
18 + 1v = 16

Add '-18' to each side of the equation.
18 + -18 + 1v = 16 + -18

Combine like terms: 18 + -18 = 0
0 + 1v = 16 + -18
1v = 16 + -18

Combine like terms: 16 + -18 = -2
1v = -2

Divide each side by '1'.
v = -2

Simplifying
v = -2

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