7(v-2)=-2v+49

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Solution for 7(v-2)=-2v+49 equation:


Simplifying
7(v + -2) = -2v + 49

Reorder the terms:
7(-2 + v) = -2v + 49
(-2 * 7 + v * 7) = -2v + 49
(-14 + 7v) = -2v + 49

Reorder the terms:
-14 + 7v = 49 + -2v

Solving
-14 + 7v = 49 + -2v

Solving for variable 'v'.

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

Add '2v' to each side of the equation.
-14 + 7v + 2v = 49 + -2v + 2v

Combine like terms: 7v + 2v = 9v
-14 + 9v = 49 + -2v + 2v

Combine like terms: -2v + 2v = 0
-14 + 9v = 49 + 0
-14 + 9v = 49

Add '14' to each side of the equation.
-14 + 14 + 9v = 49 + 14

Combine like terms: -14 + 14 = 0
0 + 9v = 49 + 14
9v = 49 + 14

Combine like terms: 49 + 14 = 63
9v = 63

Divide each side by '9'.
v = 7

Simplifying
v = 7

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