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Simplifying -4(1 + -2v) = 6(v + -3) (1 * -4 + -2v * -4) = 6(v + -3) (-4 + 8v) = 6(v + -3) Reorder the terms: -4 + 8v = 6(-3 + v) -4 + 8v = (-3 * 6 + v * 6) -4 + 8v = (-18 + 6v) Solving -4 + 8v = -18 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -4 + 8v + -6v = -18 + 6v + -6v Combine like terms: 8v + -6v = 2v -4 + 2v = -18 + 6v + -6v Combine like terms: 6v + -6v = 0 -4 + 2v = -18 + 0 -4 + 2v = -18 Add '4' to each side of the equation. -4 + 4 + 2v = -18 + 4 Combine like terms: -4 + 4 = 0 0 + 2v = -18 + 4 2v = -18 + 4 Combine like terms: -18 + 4 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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