-3(7v+5)+7v=-5+3(v+8)

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Solution for -3(7v+5)+7v=-5+3(v+8) equation:


Simplifying
-3(7v + 5) + 7v = -5 + 3(v + 8)

Reorder the terms:
-3(5 + 7v) + 7v = -5 + 3(v + 8)
(5 * -3 + 7v * -3) + 7v = -5 + 3(v + 8)
(-15 + -21v) + 7v = -5 + 3(v + 8)

Combine like terms: -21v + 7v = -14v
-15 + -14v = -5 + 3(v + 8)

Reorder the terms:
-15 + -14v = -5 + 3(8 + v)
-15 + -14v = -5 + (8 * 3 + v * 3)
-15 + -14v = -5 + (24 + 3v)

Combine like terms: -5 + 24 = 19
-15 + -14v = 19 + 3v

Solving
-15 + -14v = 19 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
-15 + -14v + -3v = 19 + 3v + -3v

Combine like terms: -14v + -3v = -17v
-15 + -17v = 19 + 3v + -3v

Combine like terms: 3v + -3v = 0
-15 + -17v = 19 + 0
-15 + -17v = 19

Add '15' to each side of the equation.
-15 + 15 + -17v = 19 + 15

Combine like terms: -15 + 15 = 0
0 + -17v = 19 + 15
-17v = 19 + 15

Combine like terms: 19 + 15 = 34
-17v = 34

Divide each side by '-17'.
v = -2

Simplifying
v = -2

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