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Simplifying -9 + v = 8(5v + -6) Reorder the terms: -9 + v = 8(-6 + 5v) -9 + v = (-6 * 8 + 5v * 8) -9 + v = (-48 + 40v) Solving -9 + v = -48 + 40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40v' to each side of the equation. -9 + v + -40v = -48 + 40v + -40v Combine like terms: v + -40v = -39v -9 + -39v = -48 + 40v + -40v Combine like terms: 40v + -40v = 0 -9 + -39v = -48 + 0 -9 + -39v = -48 Add '9' to each side of the equation. -9 + 9 + -39v = -48 + 9 Combine like terms: -9 + 9 = 0 0 + -39v = -48 + 9 -39v = -48 + 9 Combine like terms: -48 + 9 = -39 -39v = -39 Divide each side by '-39'. v = 1 Simplifying v = 1
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