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Simplifying 3(v + -2) + -4v = 2(v + -9) Reorder the terms: 3(-2 + v) + -4v = 2(v + -9) (-2 * 3 + v * 3) + -4v = 2(v + -9) (-6 + 3v) + -4v = 2(v + -9) Combine like terms: 3v + -4v = -1v -6 + -1v = 2(v + -9) Reorder the terms: -6 + -1v = 2(-9 + v) -6 + -1v = (-9 * 2 + v * 2) -6 + -1v = (-18 + 2v) Solving -6 + -1v = -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. -6 + -1v + -2v = -18 + 2v + -2v Combine like terms: -1v + -2v = -3v -6 + -3v = -18 + 2v + -2v Combine like terms: 2v + -2v = 0 -6 + -3v = -18 + 0 -6 + -3v = -18 Add '6' to each side of the equation. -6 + 6 + -3v = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -3v = -18 + 6 -3v = -18 + 6 Combine like terms: -18 + 6 = -12 -3v = -12 Divide each side by '-3'. v = 4 Simplifying v = 4
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