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Simplifying 9(v + 4) + -3 = 2(3v + 3) + -8 Reorder the terms: 9(4 + v) + -3 = 2(3v + 3) + -8 (4 * 9 + v * 9) + -3 = 2(3v + 3) + -8 (36 + 9v) + -3 = 2(3v + 3) + -8 Reorder the terms: 36 + -3 + 9v = 2(3v + 3) + -8 Combine like terms: 36 + -3 = 33 33 + 9v = 2(3v + 3) + -8 Reorder the terms: 33 + 9v = 2(3 + 3v) + -8 33 + 9v = (3 * 2 + 3v * 2) + -8 33 + 9v = (6 + 6v) + -8 Reorder the terms: 33 + 9v = 6 + -8 + 6v Combine like terms: 6 + -8 = -2 33 + 9v = -2 + 6v Solving 33 + 9v = -2 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 33 + 9v + -6v = -2 + 6v + -6v Combine like terms: 9v + -6v = 3v 33 + 3v = -2 + 6v + -6v Combine like terms: 6v + -6v = 0 33 + 3v = -2 + 0 33 + 3v = -2 Add '-33' to each side of the equation. 33 + -33 + 3v = -2 + -33 Combine like terms: 33 + -33 = 0 0 + 3v = -2 + -33 3v = -2 + -33 Combine like terms: -2 + -33 = -35 3v = -35 Divide each side by '3'. v = -11.66666667 Simplifying v = -11.66666667
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