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Simplifying -5(-6v + 5) + -9v = 3(v + -5) + -4 Reorder the terms: -5(5 + -6v) + -9v = 3(v + -5) + -4 (5 * -5 + -6v * -5) + -9v = 3(v + -5) + -4 (-25 + 30v) + -9v = 3(v + -5) + -4 Combine like terms: 30v + -9v = 21v -25 + 21v = 3(v + -5) + -4 Reorder the terms: -25 + 21v = 3(-5 + v) + -4 -25 + 21v = (-5 * 3 + v * 3) + -4 -25 + 21v = (-15 + 3v) + -4 Reorder the terms: -25 + 21v = -15 + -4 + 3v Combine like terms: -15 + -4 = -19 -25 + 21v = -19 + 3v Solving -25 + 21v = -19 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -25 + 21v + -3v = -19 + 3v + -3v Combine like terms: 21v + -3v = 18v -25 + 18v = -19 + 3v + -3v Combine like terms: 3v + -3v = 0 -25 + 18v = -19 + 0 -25 + 18v = -19 Add '25' to each side of the equation. -25 + 25 + 18v = -19 + 25 Combine like terms: -25 + 25 = 0 0 + 18v = -19 + 25 18v = -19 + 25 Combine like terms: -19 + 25 = 6 18v = 6 Divide each side by '18'. v = 0.3333333333 Simplifying v = 0.3333333333
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