114=-4(-5+6v)-2

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Solution for 114=-4(-5+6v)-2 equation:


Simplifying
114 = -4(-5 + 6v) + -2
114 = (-5 * -4 + 6v * -4) + -2
114 = (20 + -24v) + -2

Reorder the terms:
114 = 20 + -2 + -24v

Combine like terms: 20 + -2 = 18
114 = 18 + -24v

Solving
114 = 18 + -24v

Solving for variable 'v'.

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

Add '24v' to each side of the equation.
114 + 24v = 18 + -24v + 24v

Combine like terms: -24v + 24v = 0
114 + 24v = 18 + 0
114 + 24v = 18

Add '-114' to each side of the equation.
114 + -114 + 24v = 18 + -114

Combine like terms: 114 + -114 = 0
0 + 24v = 18 + -114
24v = 18 + -114

Combine like terms: 18 + -114 = -96
24v = -96

Divide each side by '24'.
v = -4

Simplifying
v = -4

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