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Simplifying 3 = -1(v + -4) + -4(2v + -9) Reorder the terms: 3 = -1(-4 + v) + -4(2v + -9) 3 = (-4 * -1 + v * -1) + -4(2v + -9) 3 = (4 + -1v) + -4(2v + -9) Reorder the terms: 3 = 4 + -1v + -4(-9 + 2v) 3 = 4 + -1v + (-9 * -4 + 2v * -4) 3 = 4 + -1v + (36 + -8v) Reorder the terms: 3 = 4 + 36 + -1v + -8v Combine like terms: 4 + 36 = 40 3 = 40 + -1v + -8v Combine like terms: -1v + -8v = -9v 3 = 40 + -9v Solving 3 = 40 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 3 + 9v = 40 + -9v + 9v Combine like terms: -9v + 9v = 0 3 + 9v = 40 + 0 3 + 9v = 40 Add '-3' to each side of the equation. 3 + -3 + 9v = 40 + -3 Combine like terms: 3 + -3 = 0 0 + 9v = 40 + -3 9v = 40 + -3 Combine like terms: 40 + -3 = 37 9v = 37 Divide each side by '9'. v = 4.111111111 Simplifying v = 4.111111111
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