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Simplifying 36 + -1v = 2(v + 6) Reorder the terms: 36 + -1v = 2(6 + v) 36 + -1v = (6 * 2 + v * 2) 36 + -1v = (12 + 2v) Solving 36 + -1v = 12 + 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 + -1v + -2v = 12 + 2v + -2v Combine like terms: -1v + -2v = -3v 36 + -3v = 12 + 2v + -2v Combine like terms: 2v + -2v = 0 36 + -3v = 12 + 0 36 + -3v = 12 Add '-36' to each side of the equation. 36 + -36 + -3v = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -3v = 12 + -36 -3v = 12 + -36 Combine like terms: 12 + -36 = -24 -3v = -24 Divide each side by '-3'. v = 8 Simplifying v = 8
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