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Simplifying -96 = 8(v + -6) + 8v Reorder the terms: -96 = 8(-6 + v) + 8v -96 = (-6 * 8 + v * 8) + 8v -96 = (-48 + 8v) + 8v Combine like terms: 8v + 8v = 16v -96 = -48 + 16v Solving -96 = -48 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -96 + -16v = -48 + 16v + -16v Combine like terms: 16v + -16v = 0 -96 + -16v = -48 + 0 -96 + -16v = -48 Add '96' to each side of the equation. -96 + 96 + -16v = -48 + 96 Combine like terms: -96 + 96 = 0 0 + -16v = -48 + 96 -16v = -48 + 96 Combine like terms: -48 + 96 = 48 -16v = 48 Divide each side by '-16'. v = -3 Simplifying v = -3
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