-5(v-4)+2=11-(v-3)

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Solution for -5(v-4)+2=11-(v-3) equation:


Simplifying
-5(v + -4) + 2 = 11 + -1(v + -3)

Reorder the terms:
-5(-4 + v) + 2 = 11 + -1(v + -3)
(-4 * -5 + v * -5) + 2 = 11 + -1(v + -3)
(20 + -5v) + 2 = 11 + -1(v + -3)

Reorder the terms:
20 + 2 + -5v = 11 + -1(v + -3)

Combine like terms: 20 + 2 = 22
22 + -5v = 11 + -1(v + -3)

Reorder the terms:
22 + -5v = 11 + -1(-3 + v)
22 + -5v = 11 + (-3 * -1 + v * -1)
22 + -5v = 11 + (3 + -1v)

Combine like terms: 11 + 3 = 14
22 + -5v = 14 + -1v

Solving
22 + -5v = 14 + -1v

Solving for variable 'v'.

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

Add 'v' to each side of the equation.
22 + -5v + v = 14 + -1v + v

Combine like terms: -5v + v = -4v
22 + -4v = 14 + -1v + v

Combine like terms: -1v + v = 0
22 + -4v = 14 + 0
22 + -4v = 14

Add '-22' to each side of the equation.
22 + -22 + -4v = 14 + -22

Combine like terms: 22 + -22 = 0
0 + -4v = 14 + -22
-4v = 14 + -22

Combine like terms: 14 + -22 = -8
-4v = -8

Divide each side by '-4'.
v = 2

Simplifying
v = 2

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