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

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Solution for 2(v-1)+4v=3(v-1)+7 equation:


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

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

Combine like terms: 2v + 4v = 6v
-2 + 6v = 3(v + -1) + 7

Reorder the terms:
-2 + 6v = 3(-1 + v) + 7
-2 + 6v = (-1 * 3 + v * 3) + 7
-2 + 6v = (-3 + 3v) + 7

Reorder the terms:
-2 + 6v = -3 + 7 + 3v

Combine like terms: -3 + 7 = 4
-2 + 6v = 4 + 3v

Solving
-2 + 6v = 4 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
-2 + 6v + -3v = 4 + 3v + -3v

Combine like terms: 6v + -3v = 3v
-2 + 3v = 4 + 3v + -3v

Combine like terms: 3v + -3v = 0
-2 + 3v = 4 + 0
-2 + 3v = 4

Add '2' to each side of the equation.
-2 + 2 + 3v = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 3v = 4 + 2
3v = 4 + 2

Combine like terms: 4 + 2 = 6
3v = 6

Divide each side by '3'.
v = 2

Simplifying
v = 2

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