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Simplifying -1(1 + 3v) = -2(v + 5) (1 * -1 + 3v * -1) = -2(v + 5) (-1 + -3v) = -2(v + 5) Reorder the terms: -1 + -3v = -2(5 + v) -1 + -3v = (5 * -2 + v * -2) -1 + -3v = (-10 + -2v) Solving -1 + -3v = -10 + -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. -1 + -3v + 2v = -10 + -2v + 2v Combine like terms: -3v + 2v = -1v -1 + -1v = -10 + -2v + 2v Combine like terms: -2v + 2v = 0 -1 + -1v = -10 + 0 -1 + -1v = -10 Add '1' to each side of the equation. -1 + 1 + -1v = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -1v = -10 + 1 -1v = -10 + 1 Combine like terms: -10 + 1 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9
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