24=4v+7(v+5)

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Solution for 24=4v+7(v+5) equation:


Simplifying
24 = 4v + 7(v + 5)

Reorder the terms:
24 = 4v + 7(5 + v)
24 = 4v + (5 * 7 + v * 7)
24 = 4v + (35 + 7v)

Reorder the terms:
24 = 35 + 4v + 7v

Combine like terms: 4v + 7v = 11v
24 = 35 + 11v

Solving
24 = 35 + 11v

Solving for variable 'v'.

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

Add '-11v' to each side of the equation.
24 + -11v = 35 + 11v + -11v

Combine like terms: 11v + -11v = 0
24 + -11v = 35 + 0
24 + -11v = 35

Add '-24' to each side of the equation.
24 + -24 + -11v = 35 + -24

Combine like terms: 24 + -24 = 0
0 + -11v = 35 + -24
-11v = 35 + -24

Combine like terms: 35 + -24 = 11
-11v = 11

Divide each side by '-11'.
v = -1

Simplifying
v = -1

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