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Simplifying 3(8 + 5v) = 8v + -32 (8 * 3 + 5v * 3) = 8v + -32 (24 + 15v) = 8v + -32 Reorder the terms: 24 + 15v = -32 + 8v Solving 24 + 15v = -32 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 24 + 15v + -8v = -32 + 8v + -8v Combine like terms: 15v + -8v = 7v 24 + 7v = -32 + 8v + -8v Combine like terms: 8v + -8v = 0 24 + 7v = -32 + 0 24 + 7v = -32 Add '-24' to each side of the equation. 24 + -24 + 7v = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 7v = -32 + -24 7v = -32 + -24 Combine like terms: -32 + -24 = -56 7v = -56 Divide each side by '7'. v = -8 Simplifying v = -8
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