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Simplifying 24 = -8v + 5(v + 3) Reorder the terms: 24 = -8v + 5(3 + v) 24 = -8v + (3 * 5 + v * 5) 24 = -8v + (15 + 5v) Reorder the terms: 24 = 15 + -8v + 5v Combine like terms: -8v + 5v = -3v 24 = 15 + -3v Solving 24 = 15 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 24 + 3v = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 24 + 3v = 15 + 0 24 + 3v = 15 Add '-24' to each side of the equation. 24 + -24 + 3v = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 3v = 15 + -24 3v = 15 + -24 Combine like terms: 15 + -24 = -9 3v = -9 Divide each side by '3'. v = -3 Simplifying v = -3
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