19=-3(8-7v)-(4v+8)

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Solution for 19=-3(8-7v)-(4v+8) equation:


Simplifying
19 = -3(8 + -7v) + -1(4v + 8)
19 = (8 * -3 + -7v * -3) + -1(4v + 8)
19 = (-24 + 21v) + -1(4v + 8)

Reorder the terms:
19 = -24 + 21v + -1(8 + 4v)
19 = -24 + 21v + (8 * -1 + 4v * -1)
19 = -24 + 21v + (-8 + -4v)

Reorder the terms:
19 = -24 + -8 + 21v + -4v

Combine like terms: -24 + -8 = -32
19 = -32 + 21v + -4v

Combine like terms: 21v + -4v = 17v
19 = -32 + 17v

Solving
19 = -32 + 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.
19 + -17v = -32 + 17v + -17v

Combine like terms: 17v + -17v = 0
19 + -17v = -32 + 0
19 + -17v = -32

Add '-19' to each side of the equation.
19 + -19 + -17v = -32 + -19

Combine like terms: 19 + -19 = 0
0 + -17v = -32 + -19
-17v = -32 + -19

Combine like terms: -32 + -19 = -51
-17v = -51

Divide each side by '-17'.
v = 3

Simplifying
v = 3

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