2v+18=6-4(v-17)

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Solution for 2v+18=6-4(v-17) equation: 


Simplifying
2v + 18 = 6 + -4(v + -17)

Reorder the terms:
18 + 2v = 6 + -4(v + -17)

Reorder the terms:
18 + 2v = 6 + -4(-17 + v)
18 + 2v = 6 + (-17 * -4 + v * -4)
18 + 2v = 6 + (68 + -4v)

Combine like terms: 6 + 68 = 74
18 + 2v = 74 + -4v

Solving
18 + 2v = 74 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
18 + 2v + 4v = 74 + -4v + 4v

Combine like terms: 2v + 4v = 6v
18 + 6v = 74 + -4v + 4v

Combine like terms: -4v + 4v = 0
18 + 6v = 74 + 0
18 + 6v = 74

Add '-18' to each side of the equation.
18 + -18 + 6v = 74 + -18

Combine like terms: 18 + -18 = 0
0 + 6v = 74 + -18
6v = 74 + -18

Combine like terms: 74 + -18 = 56
6v = 56

Divide each side by '6'.
v = 9.333333333

Simplifying
v = 9.333333333

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