3(v-5)-7=-6(-2v+3)-v

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Solution for 3(v-5)-7=-6(-2v+3)-v equation: 


Simplifying
3(v + -5) + -7 = -6(-2v + 3) + -1v

Reorder the terms:
3(-5 + v) + -7 = -6(-2v + 3) + -1v
(-5 * 3 + v * 3) + -7 = -6(-2v + 3) + -1v
(-15 + 3v) + -7 = -6(-2v + 3) + -1v

Reorder the terms:
-15 + -7 + 3v = -6(-2v + 3) + -1v

Combine like terms: -15 + -7 = -22
-22 + 3v = -6(-2v + 3) + -1v

Reorder the terms:
-22 + 3v = -6(3 + -2v) + -1v
-22 + 3v = (3 * -6 + -2v * -6) + -1v
-22 + 3v = (-18 + 12v) + -1v

Combine like terms: 12v + -1v = 11v
-22 + 3v = -18 + 11v

Solving
-22 + 3v = -18 + 11v

Solving for variable 'v'.

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

Add '-11v' to each side of the equation.
-22 + 3v + -11v = -18 + 11v + -11v

Combine like terms: 3v + -11v = -8v
-22 + -8v = -18 + 11v + -11v

Combine like terms: 11v + -11v = 0
-22 + -8v = -18 + 0
-22 + -8v = -18

Add '22' to each side of the equation.
-22 + 22 + -8v = -18 + 22

Combine like terms: -22 + 22 = 0
0 + -8v = -18 + 22
-8v = -18 + 22

Combine like terms: -18 + 22 = 4
-8v = 4

Divide each side by '-8'.
v = -0.5

Simplifying
v = -0.5

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