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

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


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

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

Reorder the terms:
-7 + 7v = 7v + 5 + -4(-1 + -3v)
-7 + 7v = 7v + 5 + (-1 * -4 + -3v * -4)
-7 + 7v = 7v + 5 + (4 + 12v)

Reorder the terms:
-7 + 7v = 5 + 4 + 7v + 12v

Combine like terms: 5 + 4 = 9
-7 + 7v = 9 + 7v + 12v

Combine like terms: 7v + 12v = 19v
-7 + 7v = 9 + 19v

Solving
-7 + 7v = 9 + 19v

Solving for variable 'v'.

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

Add '-19v' to each side of the equation.
-7 + 7v + -19v = 9 + 19v + -19v

Combine like terms: 7v + -19v = -12v
-7 + -12v = 9 + 19v + -19v

Combine like terms: 19v + -19v = 0
-7 + -12v = 9 + 0
-7 + -12v = 9

Add '7' to each side of the equation.
-7 + 7 + -12v = 9 + 7

Combine like terms: -7 + 7 = 0
0 + -12v = 9 + 7
-12v = 9 + 7

Combine like terms: 9 + 7 = 16
-12v = 16

Divide each side by '-12'.
v = -1.333333333

Simplifying
v = -1.333333333

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