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

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


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

Reorder the terms:
2(-7 + 3v) = 4(v + -3)
(-7 * 2 + 3v * 2) = 4(v + -3)
(-14 + 6v) = 4(v + -3)

Reorder the terms:
-14 + 6v = 4(-3 + v)
-14 + 6v = (-3 * 4 + v * 4)
-14 + 6v = (-12 + 4v)

Solving
-14 + 6v = -12 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
-14 + 6v + -4v = -12 + 4v + -4v

Combine like terms: 6v + -4v = 2v
-14 + 2v = -12 + 4v + -4v

Combine like terms: 4v + -4v = 0
-14 + 2v = -12 + 0
-14 + 2v = -12

Add '14' to each side of the equation.
-14 + 14 + 2v = -12 + 14

Combine like terms: -14 + 14 = 0
0 + 2v = -12 + 14
2v = -12 + 14

Combine like terms: -12 + 14 = 2
2v = 2

Divide each side by '2'.
v = 1

Simplifying
v = 1

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