4v+2=-7(v-5)

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Solution for 4v+2=-7(v-5) equation: 


Simplifying
4v + 2 = -7(v + -5)

Reorder the terms:
2 + 4v = -7(v + -5)

Reorder the terms:
2 + 4v = -7(-5 + v)
2 + 4v = (-5 * -7 + v * -7)
2 + 4v = (35 + -7v)

Solving
2 + 4v = 35 + -7v

Solving for variable 'v'.

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

Add '7v' to each side of the equation.
2 + 4v + 7v = 35 + -7v + 7v

Combine like terms: 4v + 7v = 11v
2 + 11v = 35 + -7v + 7v

Combine like terms: -7v + 7v = 0
2 + 11v = 35 + 0
2 + 11v = 35

Add '-2' to each side of the equation.
2 + -2 + 11v = 35 + -2

Combine like terms: 2 + -2 = 0
0 + 11v = 35 + -2
11v = 35 + -2

Combine like terms: 35 + -2 = 33
11v = 33

Divide each side by '11'.
v = 3

Simplifying
v = 3

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