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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 '-1v' to each side of the equation. 3 + -2v + -1v = 9 + 1v + -1v Combine like terms: -2v + -1v = -3v 3 + -3v = 9 + 1v + -1v Combine like terms: 1v + -1v = 0 3 + -3v = 9 + 0 3 + -3v = 9 Add '-3' to each side of the equation. 3 + -3 + -3v = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -3v = 9 + -3 -3v = 9 + -3 Combine like terms: 9 + -3 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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