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Simplifying 9(v + 3) + 11 = 4(2v + 8) + -2 Reorder the terms: 9(3 + v) + 11 = 4(2v + 8) + -2 (3 * 9 + v * 9) + 11 = 4(2v + 8) + -2 (27 + 9v) + 11 = 4(2v + 8) + -2 Reorder the terms: 27 + 11 + 9v = 4(2v + 8) + -2 Combine like terms: 27 + 11 = 38 38 + 9v = 4(2v + 8) + -2 Reorder the terms: 38 + 9v = 4(8 + 2v) + -2 38 + 9v = (8 * 4 + 2v * 4) + -2 38 + 9v = (32 + 8v) + -2 Reorder the terms: 38 + 9v = 32 + -2 + 8v Combine like terms: 32 + -2 = 30 38 + 9v = 30 + 8v Solving 38 + 9v = 30 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 38 + 9v + -8v = 30 + 8v + -8v Combine like terms: 9v + -8v = 1v 38 + 1v = 30 + 8v + -8v Combine like terms: 8v + -8v = 0 38 + 1v = 30 + 0 38 + 1v = 30 Add '-38' to each side of the equation. 38 + -38 + 1v = 30 + -38 Combine like terms: 38 + -38 = 0 0 + 1v = 30 + -38 1v = 30 + -38 Combine like terms: 30 + -38 = -8 1v = -8 Divide each side by '1'. v = -8 Simplifying v = -8
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