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Simplifying -2 + -6(v + 3) = -4(v + -2) Reorder the terms: -2 + -6(3 + v) = -4(v + -2) -2 + (3 * -6 + v * -6) = -4(v + -2) -2 + (-18 + -6v) = -4(v + -2) Combine like terms: -2 + -18 = -20 -20 + -6v = -4(v + -2) Reorder the terms: -20 + -6v = -4(-2 + v) -20 + -6v = (-2 * -4 + v * -4) -20 + -6v = (8 + -4v) Solving -20 + -6v = 8 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -20 + -6v + 4v = 8 + -4v + 4v Combine like terms: -6v + 4v = -2v -20 + -2v = 8 + -4v + 4v Combine like terms: -4v + 4v = 0 -20 + -2v = 8 + 0 -20 + -2v = 8 Add '20' to each side of the equation. -20 + 20 + -2v = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -2v = 8 + 20 -2v = 8 + 20 Combine like terms: 8 + 20 = 28 -2v = 28 Divide each side by '-2'. v = -14 Simplifying v = -14
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