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Simplifying -4(2v + -1) + 9v = 5(v + 2) Reorder the terms: -4(-1 + 2v) + 9v = 5(v + 2) (-1 * -4 + 2v * -4) + 9v = 5(v + 2) (4 + -8v) + 9v = 5(v + 2) Combine like terms: -8v + 9v = 1v 4 + 1v = 5(v + 2) Reorder the terms: 4 + 1v = 5(2 + v) 4 + 1v = (2 * 5 + v * 5) 4 + 1v = (10 + 5v) Solving 4 + 1v = 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. 4 + 1v + -5v = 10 + 5v + -5v Combine like terms: 1v + -5v = -4v 4 + -4v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 4 + -4v = 10 + 0 4 + -4v = 10 Add '-4' to each side of the equation. 4 + -4 + -4v = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -4v = 10 + -4 -4v = 10 + -4 Combine like terms: 10 + -4 = 6 -4v = 6 Divide each side by '-4'. v = -1.5 Simplifying v = -1.5
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