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Simplifying 2(v + 6) = 6v + -24 Reorder the terms: 2(6 + v) = 6v + -24 (6 * 2 + v * 2) = 6v + -24 (12 + 2v) = 6v + -24 Reorder the terms: 12 + 2v = -24 + 6v Solving 12 + 2v = -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. 12 + 2v + -6v = -24 + 6v + -6v Combine like terms: 2v + -6v = -4v 12 + -4v = -24 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + -4v = -24 + 0 12 + -4v = -24 Add '-12' to each side of the equation. 12 + -12 + -4v = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -4v = -24 + -12 -4v = -24 + -12 Combine like terms: -24 + -12 = -36 -4v = -36 Divide each side by '-4'. v = 9 Simplifying v = 9
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