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

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


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

Reorder the terms:
3(-2 + v) + -5 = -3(-7v + 1) + -4v
(-2 * 3 + v * 3) + -5 = -3(-7v + 1) + -4v
(-6 + 3v) + -5 = -3(-7v + 1) + -4v

Reorder the terms:
-6 + -5 + 3v = -3(-7v + 1) + -4v

Combine like terms: -6 + -5 = -11
-11 + 3v = -3(-7v + 1) + -4v

Reorder the terms:
-11 + 3v = -3(1 + -7v) + -4v
-11 + 3v = (1 * -3 + -7v * -3) + -4v
-11 + 3v = (-3 + 21v) + -4v

Combine like terms: 21v + -4v = 17v
-11 + 3v = -3 + 17v

Solving
-11 + 3v = -3 + 17v

Solving for variable 'v'.

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

Add '-17v' to each side of the equation.
-11 + 3v + -17v = -3 + 17v + -17v

Combine like terms: 3v + -17v = -14v
-11 + -14v = -3 + 17v + -17v

Combine like terms: 17v + -17v = 0
-11 + -14v = -3 + 0
-11 + -14v = -3

Add '11' to each side of the equation.
-11 + 11 + -14v = -3 + 11

Combine like terms: -11 + 11 = 0
0 + -14v = -3 + 11
-14v = -3 + 11

Combine like terms: -3 + 11 = 8
-14v = 8

Divide each side by '-14'.
v = -0.5714285714

Simplifying
v = -0.5714285714

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