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Simplifying 3v + -8 = 12 + 2(v + 12) Reorder the terms: -8 + 3v = 12 + 2(v + 12) Reorder the terms: -8 + 3v = 12 + 2(12 + v) -8 + 3v = 12 + (12 * 2 + v * 2) -8 + 3v = 12 + (24 + 2v) Combine like terms: 12 + 24 = 36 -8 + 3v = 36 + 2v Solving -8 + 3v = 36 + 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. -8 + 3v + -2v = 36 + 2v + -2v Combine like terms: 3v + -2v = 1v -8 + 1v = 36 + 2v + -2v Combine like terms: 2v + -2v = 0 -8 + 1v = 36 + 0 -8 + 1v = 36 Add '8' to each side of the equation. -8 + 8 + 1v = 36 + 8 Combine like terms: -8 + 8 = 0 0 + 1v = 36 + 8 1v = 36 + 8 Combine like terms: 36 + 8 = 44 1v = 44 Divide each side by '1'. v = 44 Simplifying v = 44
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