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Simplifying 2(v + -1) + -3v = 3(v + -6) Reorder the terms: 2(-1 + v) + -3v = 3(v + -6) (-1 * 2 + v * 2) + -3v = 3(v + -6) (-2 + 2v) + -3v = 3(v + -6) Combine like terms: 2v + -3v = -1v -2 + -1v = 3(v + -6) Reorder the terms: -2 + -1v = 3(-6 + v) -2 + -1v = (-6 * 3 + v * 3) -2 + -1v = (-18 + 3v) Solving -2 + -1v = -18 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -2 + -1v + -3v = -18 + 3v + -3v Combine like terms: -1v + -3v = -4v -2 + -4v = -18 + 3v + -3v Combine like terms: 3v + -3v = 0 -2 + -4v = -18 + 0 -2 + -4v = -18 Add '2' to each side of the equation. -2 + 2 + -4v = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -4v = -18 + 2 -4v = -18 + 2 Combine like terms: -18 + 2 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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