7(7+7v)-6=8v-40

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Solution for 7(7+7v)-6=8v-40 equation:


Simplifying
7(7 + 7v) + -6 = 8v + -40
(7 * 7 + 7v * 7) + -6 = 8v + -40
(49 + 49v) + -6 = 8v + -40

Reorder the terms:
49 + -6 + 49v = 8v + -40

Combine like terms: 49 + -6 = 43
43 + 49v = 8v + -40

Reorder the terms:
43 + 49v = -40 + 8v

Solving
43 + 49v = -40 + 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.
43 + 49v + -8v = -40 + 8v + -8v

Combine like terms: 49v + -8v = 41v
43 + 41v = -40 + 8v + -8v

Combine like terms: 8v + -8v = 0
43 + 41v = -40 + 0
43 + 41v = -40

Add '-43' to each side of the equation.
43 + -43 + 41v = -40 + -43

Combine like terms: 43 + -43 = 0
0 + 41v = -40 + -43
41v = -40 + -43

Combine like terms: -40 + -43 = -83
41v = -83

Divide each side by '41'.
v = -2.024390244

Simplifying
v = -2.024390244

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