4v-(v-2)=7-2(3v-4)

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Solution for 4v-(v-2)=7-2(3v-4) equation: 


Simplifying
4v + -1(v + -2) = 7 + -2(3v + -4)

Reorder the terms:
4v + -1(-2 + v) = 7 + -2(3v + -4)
4v + (-2 * -1 + v * -1) = 7 + -2(3v + -4)
4v + (2 + -1v) = 7 + -2(3v + -4)

Reorder the terms:
2 + 4v + -1v = 7 + -2(3v + -4)

Combine like terms: 4v + -1v = 3v
2 + 3v = 7 + -2(3v + -4)

Reorder the terms:
2 + 3v = 7 + -2(-4 + 3v)
2 + 3v = 7 + (-4 * -2 + 3v * -2)
2 + 3v = 7 + (8 + -6v)

Combine like terms: 7 + 8 = 15
2 + 3v = 15 + -6v

Solving
2 + 3v = 15 + -6v

Solving for variable 'v'.

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

Add '6v' to each side of the equation.
2 + 3v + 6v = 15 + -6v + 6v

Combine like terms: 3v + 6v = 9v
2 + 9v = 15 + -6v + 6v

Combine like terms: -6v + 6v = 0
2 + 9v = 15 + 0
2 + 9v = 15

Add '-2' to each side of the equation.
2 + -2 + 9v = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 9v = 15 + -2
9v = 15 + -2

Combine like terms: 15 + -2 = 13
9v = 13

Divide each side by '9'.
v = 1.444444444

Simplifying
v = 1.444444444

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