58=4(-6-2)+5(v-2)

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Solution for 58=4(-6-2)+5(v-2) equation:


Simplifying
58 = 4(-6 + -2) + 5(v + -2)

Combine like terms: -6 + -2 = -8
58 = 4(-8) + 5(v + -2)

Multiply 4 * -8
58 = -32 + 5(v + -2)

Reorder the terms:
58 = -32 + 5(-2 + v)
58 = -32 + (-2 * 5 + v * 5)
58 = -32 + (-10 + 5v)

Combine like terms: -32 + -10 = -42
58 = -42 + 5v

Solving
58 = -42 + 5v

Solving for variable 'v'.

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

Add '-5v' to each side of the equation.
58 + -5v = -42 + 5v + -5v

Combine like terms: 5v + -5v = 0
58 + -5v = -42 + 0
58 + -5v = -42

Add '-58' to each side of the equation.
58 + -58 + -5v = -42 + -58

Combine like terms: 58 + -58 = 0
0 + -5v = -42 + -58
-5v = -42 + -58

Combine like terms: -42 + -58 = -100
-5v = -100

Divide each side by '-5'.
v = 20

Simplifying
v = 20

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