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Simplifying -3(3v + -5) + 9v = 6 + 5(2v + -1) Reorder the terms: -3(-5 + 3v) + 9v = 6 + 5(2v + -1) (-5 * -3 + 3v * -3) + 9v = 6 + 5(2v + -1) (15 + -9v) + 9v = 6 + 5(2v + -1) Combine like terms: -9v + 9v = 0 15 + 0 = 6 + 5(2v + -1) 15 = 6 + 5(2v + -1) Reorder the terms: 15 = 6 + 5(-1 + 2v) 15 = 6 + (-1 * 5 + 2v * 5) 15 = 6 + (-5 + 10v) Combine like terms: 6 + -5 = 1 15 = 1 + 10v Solving 15 = 1 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 15 + -10v = 1 + 10v + -10v Combine like terms: 10v + -10v = 0 15 + -10v = 1 + 0 15 + -10v = 1 Add '-15' to each side of the equation. 15 + -15 + -10v = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -10v = 1 + -15 -10v = 1 + -15 Combine like terms: 1 + -15 = -14 -10v = -14 Divide each side by '-10'. v = 1.4 Simplifying v = 1.4
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