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Simplifying 5(v + -4) + -5 = -2(-4v + 5) + -9v Reorder the terms: 5(-4 + v) + -5 = -2(-4v + 5) + -9v (-4 * 5 + v * 5) + -5 = -2(-4v + 5) + -9v (-20 + 5v) + -5 = -2(-4v + 5) + -9v Reorder the terms: -20 + -5 + 5v = -2(-4v + 5) + -9v Combine like terms: -20 + -5 = -25 -25 + 5v = -2(-4v + 5) + -9v Reorder the terms: -25 + 5v = -2(5 + -4v) + -9v -25 + 5v = (5 * -2 + -4v * -2) + -9v -25 + 5v = (-10 + 8v) + -9v Combine like terms: 8v + -9v = -1v -25 + 5v = -10 + -1v Solving -25 + 5v = -10 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -25 + 5v + v = -10 + -1v + v Combine like terms: 5v + v = 6v -25 + 6v = -10 + -1v + v Combine like terms: -1v + v = 0 -25 + 6v = -10 + 0 -25 + 6v = -10 Add '25' to each side of the equation. -25 + 25 + 6v = -10 + 25 Combine like terms: -25 + 25 = 0 0 + 6v = -10 + 25 6v = -10 + 25 Combine like terms: -10 + 25 = 15 6v = 15 Divide each side by '6'. v = 2.5 Simplifying v = 2.5
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