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Simplifying 6(-3v + 1) = (-2v + -2) Reorder the terms: 6(1 + -3v) = (-2v + -2) (1 * 6 + -3v * 6) = (-2v + -2) (6 + -18v) = (-2v + -2) Reorder the terms: 6 + -18v = (-2 + -2v) Remove parenthesis around (-2 + -2v) 6 + -18v = -2 + -2v Solving 6 + -18v = -2 + -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 + -18v + 2v = -2 + -2v + 2v Combine like terms: -18v + 2v = -16v 6 + -16v = -2 + -2v + 2v Combine like terms: -2v + 2v = 0 6 + -16v = -2 + 0 6 + -16v = -2 Add '-6' to each side of the equation. 6 + -6 + -16v = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -16v = -2 + -6 -16v = -2 + -6 Combine like terms: -2 + -6 = -8 -16v = -8 Divide each side by '-16'. v = 0.5 Simplifying v = 0.5
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