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Simplifying 3(v + 6) = v + 32 Reorder the terms: 3(6 + v) = v + 32 (6 * 3 + v * 3) = v + 32 (18 + 3v) = v + 32 Reorder the terms: 18 + 3v = 32 + v Solving 18 + 3v = 32 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 18 + 3v + -1v = 32 + v + -1v Combine like terms: 3v + -1v = 2v 18 + 2v = 32 + v + -1v Combine like terms: v + -1v = 0 18 + 2v = 32 + 0 18 + 2v = 32 Add '-18' to each side of the equation. 18 + -18 + 2v = 32 + -18 Combine like terms: 18 + -18 = 0 0 + 2v = 32 + -18 2v = 32 + -18 Combine like terms: 32 + -18 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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