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Simplifying 6(v + 6) = 2v + 24 Reorder the terms: 6(6 + v) = 2v + 24 (6 * 6 + v * 6) = 2v + 24 (36 + 6v) = 2v + 24 Reorder the terms: 36 + 6v = 24 + 2v Solving 36 + 6v = 24 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 36 + 6v + -2v = 24 + 2v + -2v Combine like terms: 6v + -2v = 4v 36 + 4v = 24 + 2v + -2v Combine like terms: 2v + -2v = 0 36 + 4v = 24 + 0 36 + 4v = 24 Add '-36' to each side of the equation. 36 + -36 + 4v = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 4v = 24 + -36 4v = 24 + -36 Combine like terms: 24 + -36 = -12 4v = -12 Divide each side by '4'. v = -3 Simplifying v = -3
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