-7(v-2)+4v+6=8v+8

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Solution for -7(v-2)+4v+6=8v+8 equation:


Simplifying
-7(v + -2) + 4v + 6 = 8v + 8

Reorder the terms:
-7(-2 + v) + 4v + 6 = 8v + 8
(-2 * -7 + v * -7) + 4v + 6 = 8v + 8
(14 + -7v) + 4v + 6 = 8v + 8

Reorder the terms:
14 + 6 + -7v + 4v = 8v + 8

Combine like terms: 14 + 6 = 20
20 + -7v + 4v = 8v + 8

Combine like terms: -7v + 4v = -3v
20 + -3v = 8v + 8

Reorder the terms:
20 + -3v = 8 + 8v

Solving
20 + -3v = 8 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
20 + -3v + -8v = 8 + 8v + -8v

Combine like terms: -3v + -8v = -11v
20 + -11v = 8 + 8v + -8v

Combine like terms: 8v + -8v = 0
20 + -11v = 8 + 0
20 + -11v = 8

Add '-20' to each side of the equation.
20 + -20 + -11v = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -11v = 8 + -20
-11v = 8 + -20

Combine like terms: 8 + -20 = -12
-11v = -12

Divide each side by '-11'.
v = 1.090909091

Simplifying
v = 1.090909091

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