24=-7(v-3)-(5-8v)

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Solution for 24=-7(v-3)-(5-8v) equation:


Simplifying
24 = -7(v + -3) + -1(5 + -8v)

Reorder the terms:
24 = -7(-3 + v) + -1(5 + -8v)
24 = (-3 * -7 + v * -7) + -1(5 + -8v)
24 = (21 + -7v) + -1(5 + -8v)
24 = 21 + -7v + (5 * -1 + -8v * -1)
24 = 21 + -7v + (-5 + 8v)

Reorder the terms:
24 = 21 + -5 + -7v + 8v

Combine like terms: 21 + -5 = 16
24 = 16 + -7v + 8v

Combine like terms: -7v + 8v = 1v
24 = 16 + 1v

Solving
24 = 16 + 1v

Solving for variable 'v'.

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

Add '-1v' to each side of the equation.
24 + -1v = 16 + 1v + -1v

Combine like terms: 1v + -1v = 0
24 + -1v = 16 + 0
24 + -1v = 16

Add '-24' to each side of the equation.
24 + -24 + -1v = 16 + -24

Combine like terms: 24 + -24 = 0
0 + -1v = 16 + -24
-1v = 16 + -24

Combine like terms: 16 + -24 = -8
-1v = -8

Divide each side by '-1'.
v = 8

Simplifying
v = 8

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