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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 = -6 3v = -6 Divide each side by '3'. v = -2 Simplifying v = -2
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