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Simplifying 2(v + -1) = 9v + 1 + -3(-3v + -5) Reorder the terms: 2(-1 + v) = 9v + 1 + -3(-3v + -5) (-1 * 2 + v * 2) = 9v + 1 + -3(-3v + -5) (-2 + 2v) = 9v + 1 + -3(-3v + -5) Reorder the terms: -2 + 2v = 9v + 1 + -3(-5 + -3v) -2 + 2v = 9v + 1 + (-5 * -3 + -3v * -3) -2 + 2v = 9v + 1 + (15 + 9v) Reorder the terms: -2 + 2v = 1 + 15 + 9v + 9v Combine like terms: 1 + 15 = 16 -2 + 2v = 16 + 9v + 9v Combine like terms: 9v + 9v = 18v -2 + 2v = 16 + 18v Solving -2 + 2v = 16 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -2 + 2v + -18v = 16 + 18v + -18v Combine like terms: 2v + -18v = -16v -2 + -16v = 16 + 18v + -18v Combine like terms: 18v + -18v = 0 -2 + -16v = 16 + 0 -2 + -16v = 16 Add '2' to each side of the equation. -2 + 2 + -16v = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -16v = 16 + 2 -16v = 16 + 2 Combine like terms: 16 + 2 = 18 -16v = 18 Divide each side by '-16'. v = -1.125 Simplifying v = -1.125
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