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Simplifying 5v + 12 = 2(v + -9) Reorder the terms: 12 + 5v = 2(v + -9) Reorder the terms: 12 + 5v = 2(-9 + v) 12 + 5v = (-9 * 2 + v * 2) 12 + 5v = (-18 + 2v) Solving 12 + 5v = -18 + 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 + 5v + -2v = -18 + 2v + -2v Combine like terms: 5v + -2v = 3v 12 + 3v = -18 + 2v + -2v Combine like terms: 2v + -2v = 0 12 + 3v = -18 + 0 12 + 3v = -18 Add '-12' to each side of the equation. 12 + -12 + 3v = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 3v = -18 + -12 3v = -18 + -12 Combine like terms: -18 + -12 = -30 3v = -30 Divide each side by '3'. v = -10 Simplifying v = -10
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