7(4v-2)=40+v

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Solution for 7(4v-2)=40+v equation:


Simplifying
7(4v + -2) = 40 + v

Reorder the terms:
7(-2 + 4v) = 40 + v
(-2 * 7 + 4v * 7) = 40 + v
(-14 + 28v) = 40 + v

Solving
-14 + 28v = 40 + v

Solving for variable 'v'.

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

Add '-1v' to each side of the equation.
-14 + 28v + -1v = 40 + v + -1v

Combine like terms: 28v + -1v = 27v
-14 + 27v = 40 + v + -1v

Combine like terms: v + -1v = 0
-14 + 27v = 40 + 0
-14 + 27v = 40

Add '14' to each side of the equation.
-14 + 14 + 27v = 40 + 14

Combine like terms: -14 + 14 = 0
0 + 27v = 40 + 14
27v = 40 + 14

Combine like terms: 40 + 14 = 54
27v = 54

Divide each side by '27'.
v = 2

Simplifying
v = 2

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