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Simplifying 3 = -1(v + -4) + (2v + -9) Reorder the terms: 3 = -1(-4 + v) + (2v + -9) 3 = (-4 * -1 + v * -1) + (2v + -9) 3 = (4 + -1v) + (2v + -9) Reorder the terms: 3 = 4 + -1v + (-9 + 2v) Remove parenthesis around (-9 + 2v) 3 = 4 + -1v + -9 + 2v Reorder the terms: 3 = 4 + -9 + -1v + 2v Combine like terms: 4 + -9 = -5 3 = -5 + -1v + 2v Combine like terms: -1v + 2v = 1v 3 = -5 + 1v Solving 3 = -5 + 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 3 + -1v = -5 + 1v + -1v Combine like terms: 1v + -1v = 0 3 + -1v = -5 + 0 3 + -1v = -5 Add '-3' to each side of the equation. 3 + -3 + -1v = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = -5 + -3 -1v = -5 + -3 Combine like terms: -5 + -3 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8
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