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Simplifying -3v + -9 = -1(v + -1) Reorder the terms: -9 + -3v = -1(v + -1) Reorder the terms: -9 + -3v = -1(-1 + v) -9 + -3v = (-1 * -1 + v * -1) -9 + -3v = (1 + -1v) Solving -9 + -3v = 1 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -9 + -3v + v = 1 + -1v + v Combine like terms: -3v + v = -2v -9 + -2v = 1 + -1v + v Combine like terms: -1v + v = 0 -9 + -2v = 1 + 0 -9 + -2v = 1 Add '9' to each side of the equation. -9 + 9 + -2v = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -2v = 1 + 9 -2v = 1 + 9 Combine like terms: 1 + 9 = 10 -2v = 10 Divide each side by '-2'. v = -5 Simplifying v = -5
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