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Simplifying 9(v + 8) = -4v + -32 Reorder the terms: 9(8 + v) = -4v + -32 (8 * 9 + v * 9) = -4v + -32 (72 + 9v) = -4v + -32 Reorder the terms: 72 + 9v = -32 + -4v Solving 72 + 9v = -32 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 72 + 9v + 4v = -32 + -4v + 4v Combine like terms: 9v + 4v = 13v 72 + 13v = -32 + -4v + 4v Combine like terms: -4v + 4v = 0 72 + 13v = -32 + 0 72 + 13v = -32 Add '-72' to each side of the equation. 72 + -72 + 13v = -32 + -72 Combine like terms: 72 + -72 = 0 0 + 13v = -32 + -72 13v = -32 + -72 Combine like terms: -32 + -72 = -104 13v = -104 Divide each side by '13'. v = -8 Simplifying v = -8
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