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Simplifying -3(-2v + 6) = -2(-4v + -1) Reorder the terms: -3(6 + -2v) = -2(-4v + -1) (6 * -3 + -2v * -3) = -2(-4v + -1) (-18 + 6v) = -2(-4v + -1) Reorder the terms: -18 + 6v = -2(-1 + -4v) -18 + 6v = (-1 * -2 + -4v * -2) -18 + 6v = (2 + 8v) Solving -18 + 6v = 2 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -18 + 6v + -8v = 2 + 8v + -8v Combine like terms: 6v + -8v = -2v -18 + -2v = 2 + 8v + -8v Combine like terms: 8v + -8v = 0 -18 + -2v = 2 + 0 -18 + -2v = 2 Add '18' to each side of the equation. -18 + 18 + -2v = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -2v = 2 + 18 -2v = 2 + 18 Combine like terms: 2 + 18 = 20 -2v = 20 Divide each side by '-2'. v = -10 Simplifying v = -10
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