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Simplifying 2(v + 6) = -2v + 48 Reorder the terms: 2(6 + v) = -2v + 48 (6 * 2 + v * 2) = -2v + 48 (12 + 2v) = -2v + 48 Reorder the terms: 12 + 2v = 48 + -2v Solving 12 + 2v = 48 + -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. 12 + 2v + 2v = 48 + -2v + 2v Combine like terms: 2v + 2v = 4v 12 + 4v = 48 + -2v + 2v Combine like terms: -2v + 2v = 0 12 + 4v = 48 + 0 12 + 4v = 48 Add '-12' to each side of the equation. 12 + -12 + 4v = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 4v = 48 + -12 4v = 48 + -12 Combine like terms: 48 + -12 = 36 4v = 36 Divide each side by '4'. v = 9 Simplifying v = 9
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