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Simplifying -5(v + -3) = -8v + 24 Reorder the terms: -5(-3 + v) = -8v + 24 (-3 * -5 + v * -5) = -8v + 24 (15 + -5v) = -8v + 24 Reorder the terms: 15 + -5v = 24 + -8v Solving 15 + -5v = 24 + -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. 15 + -5v + 8v = 24 + -8v + 8v Combine like terms: -5v + 8v = 3v 15 + 3v = 24 + -8v + 8v Combine like terms: -8v + 8v = 0 15 + 3v = 24 + 0 15 + 3v = 24 Add '-15' to each side of the equation. 15 + -15 + 3v = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 3v = 24 + -15 3v = 24 + -15 Combine like terms: 24 + -15 = 9 3v = 9 Divide each side by '3'. v = 3 Simplifying v = 3
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