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

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


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

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

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

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

Reorder the terms:
-4 + 3v = 1 + -3(2 + -7v) + -2v
-4 + 3v = 1 + (2 * -3 + -7v * -3) + -2v
-4 + 3v = 1 + (-6 + 21v) + -2v

Combine like terms: 1 + -6 = -5
-4 + 3v = -5 + 21v + -2v

Combine like terms: 21v + -2v = 19v
-4 + 3v = -5 + 19v

Solving
-4 + 3v = -5 + 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.
-4 + 3v + -19v = -5 + 19v + -19v

Combine like terms: 3v + -19v = -16v
-4 + -16v = -5 + 19v + -19v

Combine like terms: 19v + -19v = 0
-4 + -16v = -5 + 0
-4 + -16v = -5

Add '4' to each side of the equation.
-4 + 4 + -16v = -5 + 4

Combine like terms: -4 + 4 = 0
0 + -16v = -5 + 4
-16v = -5 + 4

Combine like terms: -5 + 4 = -1
-16v = -1

Divide each side by '-16'.
v = 0.0625

Simplifying
v = 0.0625

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