-2(7v-6)+5v=9+3(3v-1)

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Solution for -2(7v-6)+5v=9+3(3v-1) equation:


Simplifying
-2(7v + -6) + 5v = 9 + 3(3v + -1)

Reorder the terms:
-2(-6 + 7v) + 5v = 9 + 3(3v + -1)
(-6 * -2 + 7v * -2) + 5v = 9 + 3(3v + -1)
(12 + -14v) + 5v = 9 + 3(3v + -1)

Combine like terms: -14v + 5v = -9v
12 + -9v = 9 + 3(3v + -1)

Reorder the terms:
12 + -9v = 9 + 3(-1 + 3v)
12 + -9v = 9 + (-1 * 3 + 3v * 3)
12 + -9v = 9 + (-3 + 9v)

Combine like terms: 9 + -3 = 6
12 + -9v = 6 + 9v

Solving
12 + -9v = 6 + 9v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-9v' to each side of the equation.
12 + -9v + -9v = 6 + 9v + -9v

Combine like terms: -9v + -9v = -18v
12 + -18v = 6 + 9v + -9v

Combine like terms: 9v + -9v = 0
12 + -18v = 6 + 0
12 + -18v = 6

Add '-12' to each side of the equation.
12 + -12 + -18v = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -18v = 6 + -12
-18v = 6 + -12

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

Divide each side by '-18'.
v = 0.3333333333

Simplifying
v = 0.3333333333

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