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Simplifying -8v + 32 = -8(3v + 6) Reorder the terms: 32 + -8v = -8(3v + 6) Reorder the terms: 32 + -8v = -8(6 + 3v) 32 + -8v = (6 * -8 + 3v * -8) 32 + -8v = (-48 + -24v) Solving 32 + -8v = -48 + -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. 32 + -8v + 24v = -48 + -24v + 24v Combine like terms: -8v + 24v = 16v 32 + 16v = -48 + -24v + 24v Combine like terms: -24v + 24v = 0 32 + 16v = -48 + 0 32 + 16v = -48 Add '-32' to each side of the equation. 32 + -32 + 16v = -48 + -32 Combine like terms: 32 + -32 = 0 0 + 16v = -48 + -32 16v = -48 + -32 Combine like terms: -48 + -32 = -80 16v = -80 Divide each side by '16'. v = -5 Simplifying v = -5
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