2(v+9)=7v-4

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Solution for 2(v+9)=7v-4 equation:


Simplifying
2(v + 9) = 7v + -4

Reorder the terms:
2(9 + v) = 7v + -4
(9 * 2 + v * 2) = 7v + -4
(18 + 2v) = 7v + -4

Reorder the terms:
18 + 2v = -4 + 7v

Solving
18 + 2v = -4 + 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.
18 + 2v + -7v = -4 + 7v + -7v

Combine like terms: 2v + -7v = -5v
18 + -5v = -4 + 7v + -7v

Combine like terms: 7v + -7v = 0
18 + -5v = -4 + 0
18 + -5v = -4

Add '-18' to each side of the equation.
18 + -18 + -5v = -4 + -18

Combine like terms: 18 + -18 = 0
0 + -5v = -4 + -18
-5v = -4 + -18

Combine like terms: -4 + -18 = -22
-5v = -22

Divide each side by '-5'.
v = 4.4

Simplifying
v = 4.4

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