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Simplifying 9(v + -6) = -6v + -39 Reorder the terms: 9(-6 + v) = -6v + -39 (-6 * 9 + v * 9) = -6v + -39 (-54 + 9v) = -6v + -39 Reorder the terms: -54 + 9v = -39 + -6v Solving -54 + 9v = -39 + -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. -54 + 9v + 6v = -39 + -6v + 6v Combine like terms: 9v + 6v = 15v -54 + 15v = -39 + -6v + 6v Combine like terms: -6v + 6v = 0 -54 + 15v = -39 + 0 -54 + 15v = -39 Add '54' to each side of the equation. -54 + 54 + 15v = -39 + 54 Combine like terms: -54 + 54 = 0 0 + 15v = -39 + 54 15v = -39 + 54 Combine like terms: -39 + 54 = 15 15v = 15 Divide each side by '15'. v = 1 Simplifying v = 1
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