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Simplifying 9v + -1(2v + 5) = 5v + -49 Reorder the terms: 9v + -1(5 + 2v) = 5v + -49 9v + (5 * -1 + 2v * -1) = 5v + -49 9v + (-5 + -2v) = 5v + -49 Reorder the terms: -5 + 9v + -2v = 5v + -49 Combine like terms: 9v + -2v = 7v -5 + 7v = 5v + -49 Reorder the terms: -5 + 7v = -49 + 5v Solving -5 + 7v = -49 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -5 + 7v + -5v = -49 + 5v + -5v Combine like terms: 7v + -5v = 2v -5 + 2v = -49 + 5v + -5v Combine like terms: 5v + -5v = 0 -5 + 2v = -49 + 0 -5 + 2v = -49 Add '5' to each side of the equation. -5 + 5 + 2v = -49 + 5 Combine like terms: -5 + 5 = 0 0 + 2v = -49 + 5 2v = -49 + 5 Combine like terms: -49 + 5 = -44 2v = -44 Divide each side by '2'. v = -22 Simplifying v = -22
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