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Simplifying -4(-8v + 2) + -9v = 5(v + 4) + -2 Reorder the terms: -4(2 + -8v) + -9v = 5(v + 4) + -2 (2 * -4 + -8v * -4) + -9v = 5(v + 4) + -2 (-8 + 32v) + -9v = 5(v + 4) + -2 Combine like terms: 32v + -9v = 23v -8 + 23v = 5(v + 4) + -2 Reorder the terms: -8 + 23v = 5(4 + v) + -2 -8 + 23v = (4 * 5 + v * 5) + -2 -8 + 23v = (20 + 5v) + -2 Reorder the terms: -8 + 23v = 20 + -2 + 5v Combine like terms: 20 + -2 = 18 -8 + 23v = 18 + 5v Solving -8 + 23v = 18 + 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. -8 + 23v + -5v = 18 + 5v + -5v Combine like terms: 23v + -5v = 18v -8 + 18v = 18 + 5v + -5v Combine like terms: 5v + -5v = 0 -8 + 18v = 18 + 0 -8 + 18v = 18 Add '8' to each side of the equation. -8 + 8 + 18v = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 18v = 18 + 8 18v = 18 + 8 Combine like terms: 18 + 8 = 26 18v = 26 Divide each side by '18'. v = 1.444444444 Simplifying v = 1.444444444
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