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Simplifying 9(v + 8) = -6v + -33 Reorder the terms: 9(8 + v) = -6v + -33 (8 * 9 + v * 9) = -6v + -33 (72 + 9v) = -6v + -33 Reorder the terms: 72 + 9v = -33 + -6v Solving 72 + 9v = -33 + -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. 72 + 9v + 6v = -33 + -6v + 6v Combine like terms: 9v + 6v = 15v 72 + 15v = -33 + -6v + 6v Combine like terms: -6v + 6v = 0 72 + 15v = -33 + 0 72 + 15v = -33 Add '-72' to each side of the equation. 72 + -72 + 15v = -33 + -72 Combine like terms: 72 + -72 = 0 0 + 15v = -33 + -72 15v = -33 + -72 Combine like terms: -33 + -72 = -105 15v = -105 Divide each side by '15'. v = -7 Simplifying v = -7
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