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Simplifying -5(v + -6) = 4v + -24 Reorder the terms: -5(-6 + v) = 4v + -24 (-6 * -5 + v * -5) = 4v + -24 (30 + -5v) = 4v + -24 Reorder the terms: 30 + -5v = -24 + 4v Solving 30 + -5v = -24 + 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. 30 + -5v + -4v = -24 + 4v + -4v Combine like terms: -5v + -4v = -9v 30 + -9v = -24 + 4v + -4v Combine like terms: 4v + -4v = 0 30 + -9v = -24 + 0 30 + -9v = -24 Add '-30' to each side of the equation. 30 + -30 + -9v = -24 + -30 Combine like terms: 30 + -30 = 0 0 + -9v = -24 + -30 -9v = -24 + -30 Combine like terms: -24 + -30 = -54 -9v = -54 Divide each side by '-9'. v = 6 Simplifying v = 6
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