4(1v-1)+7=5(2v-3)

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Solution for 4(1v-1)+7=5(2v-3) equation:


Simplifying
4(1v + -1) + 7 = 5(2v + -3)

Reorder the terms:
4(-1 + 1v) + 7 = 5(2v + -3)
(-1 * 4 + 1v * 4) + 7 = 5(2v + -3)
(-4 + 4v) + 7 = 5(2v + -3)

Reorder the terms:
-4 + 7 + 4v = 5(2v + -3)

Combine like terms: -4 + 7 = 3
3 + 4v = 5(2v + -3)

Reorder the terms:
3 + 4v = 5(-3 + 2v)
3 + 4v = (-3 * 5 + 2v * 5)
3 + 4v = (-15 + 10v)

Solving
3 + 4v = -15 + 10v

Solving for variable 'v'.

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

Add '-10v' to each side of the equation.
3 + 4v + -10v = -15 + 10v + -10v

Combine like terms: 4v + -10v = -6v
3 + -6v = -15 + 10v + -10v

Combine like terms: 10v + -10v = 0
3 + -6v = -15 + 0
3 + -6v = -15

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

Combine like terms: 3 + -3 = 0
0 + -6v = -15 + -3
-6v = -15 + -3

Combine like terms: -15 + -3 = -18
-6v = -18

Divide each side by '-6'.
v = 3

Simplifying
v = 3

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