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Simplifying 6(v + -5) = 4v + -24 Reorder the terms: 6(-5 + v) = 4v + -24 (-5 * 6 + v * 6) = 4v + -24 (-30 + 6v) = 4v + -24 Reorder the terms: -30 + 6v = -24 + 4v Solving -30 + 6v = -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 + 6v + -4v = -24 + 4v + -4v Combine like terms: 6v + -4v = 2v -30 + 2v = -24 + 4v + -4v Combine like terms: 4v + -4v = 0 -30 + 2v = -24 + 0 -30 + 2v = -24 Add '30' to each side of the equation. -30 + 30 + 2v = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 2v = -24 + 30 2v = -24 + 30 Combine like terms: -24 + 30 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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