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Simplifying 9v + 1 + -2(-3v + -2) = 5(v + -2) Reorder the terms: 9v + 1 + -2(-2 + -3v) = 5(v + -2) 9v + 1 + (-2 * -2 + -3v * -2) = 5(v + -2) 9v + 1 + (4 + 6v) = 5(v + -2) Reorder the terms: 1 + 4 + 9v + 6v = 5(v + -2) Combine like terms: 1 + 4 = 5 5 + 9v + 6v = 5(v + -2) Combine like terms: 9v + 6v = 15v 5 + 15v = 5(v + -2) Reorder the terms: 5 + 15v = 5(-2 + v) 5 + 15v = (-2 * 5 + v * 5) 5 + 15v = (-10 + 5v) Solving 5 + 15v = -10 + 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 + 15v + -5v = -10 + 5v + -5v Combine like terms: 15v + -5v = 10v 5 + 10v = -10 + 5v + -5v Combine like terms: 5v + -5v = 0 5 + 10v = -10 + 0 5 + 10v = -10 Add '-5' to each side of the equation. 5 + -5 + 10v = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 10v = -10 + -5 10v = -10 + -5 Combine like terms: -10 + -5 = -15 10v = -15 Divide each side by '10'. v = -1.5 Simplifying v = -1.5
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