-2(4v-7)+5v=6+2(6v-5)

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Solution for -2(4v-7)+5v=6+2(6v-5) equation:


Simplifying
-2(4v + -7) + 5v = 6 + 2(6v + -5)

Reorder the terms:
-2(-7 + 4v) + 5v = 6 + 2(6v + -5)
(-7 * -2 + 4v * -2) + 5v = 6 + 2(6v + -5)
(14 + -8v) + 5v = 6 + 2(6v + -5)

Combine like terms: -8v + 5v = -3v
14 + -3v = 6 + 2(6v + -5)

Reorder the terms:
14 + -3v = 6 + 2(-5 + 6v)
14 + -3v = 6 + (-5 * 2 + 6v * 2)
14 + -3v = 6 + (-10 + 12v)

Combine like terms: 6 + -10 = -4
14 + -3v = -4 + 12v

Solving
14 + -3v = -4 + 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.
14 + -3v + -12v = -4 + 12v + -12v

Combine like terms: -3v + -12v = -15v
14 + -15v = -4 + 12v + -12v

Combine like terms: 12v + -12v = 0
14 + -15v = -4 + 0
14 + -15v = -4

Add '-14' to each side of the equation.
14 + -14 + -15v = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -15v = -4 + -14
-15v = -4 + -14

Combine like terms: -4 + -14 = -18
-15v = -18

Divide each side by '-15'.
v = 1.2

Simplifying
v = 1.2

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