-3(3v-4)+5v=1+3(4v-1)

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Solution for -3(3v-4)+5v=1+3(4v-1) equation:


Simplifying
-3(3v + -4) + 5v = 1 + 3(4v + -1)

Reorder the terms:
-3(-4 + 3v) + 5v = 1 + 3(4v + -1)
(-4 * -3 + 3v * -3) + 5v = 1 + 3(4v + -1)
(12 + -9v) + 5v = 1 + 3(4v + -1)

Combine like terms: -9v + 5v = -4v
12 + -4v = 1 + 3(4v + -1)

Reorder the terms:
12 + -4v = 1 + 3(-1 + 4v)
12 + -4v = 1 + (-1 * 3 + 4v * 3)
12 + -4v = 1 + (-3 + 12v)

Combine like terms: 1 + -3 = -2
12 + -4v = -2 + 12v

Solving
12 + -4v = -2 + 12v

Solving for variable 'v'.

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

Add '-12v' to each side of the equation.
12 + -4v + -12v = -2 + 12v + -12v

Combine like terms: -4v + -12v = -16v
12 + -16v = -2 + 12v + -12v

Combine like terms: 12v + -12v = 0
12 + -16v = -2 + 0
12 + -16v = -2

Add '-12' to each side of the equation.
12 + -12 + -16v = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -16v = -2 + -12
-16v = -2 + -12

Combine like terms: -2 + -12 = -14
-16v = -14

Divide each side by '-16'.
v = 0.875

Simplifying
v = 0.875

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