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Simplifying 2v + 3 + -4v = -1(v + 9) Reorder the terms: 3 + 2v + -4v = -1(v + 9) Combine like terms: 2v + -4v = -2v 3 + -2v = -1(v + 9) Reorder the terms: 3 + -2v = -1(9 + v) 3 + -2v = (9 * -1 + v * -1) 3 + -2v = (-9 + -1v) Solving 3 + -2v = -9 + -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. 3 + -2v + v = -9 + -1v + v Combine like terms: -2v + v = -1v 3 + -1v = -9 + -1v + v Combine like terms: -1v + v = 0 3 + -1v = -9 + 0 3 + -1v = -9 Add '-3' to each side of the equation. 3 + -3 + -1v = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = -9 + -3 -1v = -9 + -3 Combine like terms: -9 + -3 = -12 -1v = -12 Divide each side by '-1'. v = 12 Simplifying v = 12
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