7v+8(4-3v)=-6v-34

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Solution for 7v+8(4-3v)=-6v-34 equation: 


Simplifying
7v + 8(4 + -3v) = -6v + -34
7v + (4 * 8 + -3v * 8) = -6v + -34
7v + (32 + -24v) = -6v + -34

Reorder the terms:
32 + 7v + -24v = -6v + -34

Combine like terms: 7v + -24v = -17v
32 + -17v = -6v + -34

Reorder the terms:
32 + -17v = -34 + -6v

Solving
32 + -17v = -34 + -6v

Solving for variable 'v'.

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

Add '6v' to each side of the equation.
32 + -17v + 6v = -34 + -6v + 6v

Combine like terms: -17v + 6v = -11v
32 + -11v = -34 + -6v + 6v

Combine like terms: -6v + 6v = 0
32 + -11v = -34 + 0
32 + -11v = -34

Add '-32' to each side of the equation.
32 + -32 + -11v = -34 + -32

Combine like terms: 32 + -32 = 0
0 + -11v = -34 + -32
-11v = -34 + -32

Combine like terms: -34 + -32 = -66
-11v = -66

Divide each side by '-11'.
v = 6

Simplifying
v = 6

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