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

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Solution for 6(v-1)-7=-7(-3v+4)-3v equation:


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

Reorder the terms:
6(-1 + v) + -7 = -7(-3v + 4) + -3v
(-1 * 6 + v * 6) + -7 = -7(-3v + 4) + -3v
(-6 + 6v) + -7 = -7(-3v + 4) + -3v

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

Combine like terms: -6 + -7 = -13
-13 + 6v = -7(-3v + 4) + -3v

Reorder the terms:
-13 + 6v = -7(4 + -3v) + -3v
-13 + 6v = (4 * -7 + -3v * -7) + -3v
-13 + 6v = (-28 + 21v) + -3v

Combine like terms: 21v + -3v = 18v
-13 + 6v = -28 + 18v

Solving
-13 + 6v = -28 + 18v

Solving for variable 'v'.

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

Add '-18v' to each side of the equation.
-13 + 6v + -18v = -28 + 18v + -18v

Combine like terms: 6v + -18v = -12v
-13 + -12v = -28 + 18v + -18v

Combine like terms: 18v + -18v = 0
-13 + -12v = -28 + 0
-13 + -12v = -28

Add '13' to each side of the equation.
-13 + 13 + -12v = -28 + 13

Combine like terms: -13 + 13 = 0
0 + -12v = -28 + 13
-12v = -28 + 13

Combine like terms: -28 + 13 = -15
-12v = -15

Divide each side by '-12'.
v = 1.25

Simplifying
v = 1.25

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