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Simplifying 6 + -1(v + -3) = 9(2v + 3) Reorder the terms: 6 + -1(-3 + v) = 9(2v + 3) 6 + (-3 * -1 + v * -1) = 9(2v + 3) 6 + (3 + -1v) = 9(2v + 3) Combine like terms: 6 + 3 = 9 9 + -1v = 9(2v + 3) Reorder the terms: 9 + -1v = 9(3 + 2v) 9 + -1v = (3 * 9 + 2v * 9) 9 + -1v = (27 + 18v) Solving 9 + -1v = 27 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. 9 + -1v + -18v = 27 + 18v + -18v Combine like terms: -1v + -18v = -19v 9 + -19v = 27 + 18v + -18v Combine like terms: 18v + -18v = 0 9 + -19v = 27 + 0 9 + -19v = 27 Add '-9' to each side of the equation. 9 + -9 + -19v = 27 + -9 Combine like terms: 9 + -9 = 0 0 + -19v = 27 + -9 -19v = 27 + -9 Combine like terms: 27 + -9 = 18 -19v = 18 Divide each side by '-19'. v = -0.9473684211 Simplifying v = -0.9473684211
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