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Simplifying -9(v + -4) = 6v + -24 Reorder the terms: -9(-4 + v) = 6v + -24 (-4 * -9 + v * -9) = 6v + -24 (36 + -9v) = 6v + -24 Reorder the terms: 36 + -9v = -24 + 6v Solving 36 + -9v = -24 + 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. 36 + -9v + -6v = -24 + 6v + -6v Combine like terms: -9v + -6v = -15v 36 + -15v = -24 + 6v + -6v Combine like terms: 6v + -6v = 0 36 + -15v = -24 + 0 36 + -15v = -24 Add '-36' to each side of the equation. 36 + -36 + -15v = -24 + -36 Combine like terms: 36 + -36 = 0 0 + -15v = -24 + -36 -15v = -24 + -36 Combine like terms: -24 + -36 = -60 -15v = -60 Divide each side by '-15'. v = 4 Simplifying v = 4
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