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Simplifying 8(3n + 4) = 8(9n + 9) + 4 Reorder the terms: 8(4 + 3n) = 8(9n + 9) + 4 (4 * 8 + 3n * 8) = 8(9n + 9) + 4 (32 + 24n) = 8(9n + 9) + 4 Reorder the terms: 32 + 24n = 8(9 + 9n) + 4 32 + 24n = (9 * 8 + 9n * 8) + 4 32 + 24n = (72 + 72n) + 4 Reorder the terms: 32 + 24n = 72 + 4 + 72n Combine like terms: 72 + 4 = 76 32 + 24n = 76 + 72n Solving 32 + 24n = 76 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 32 + 24n + -72n = 76 + 72n + -72n Combine like terms: 24n + -72n = -48n 32 + -48n = 76 + 72n + -72n Combine like terms: 72n + -72n = 0 32 + -48n = 76 + 0 32 + -48n = 76 Add '-32' to each side of the equation. 32 + -32 + -48n = 76 + -32 Combine like terms: 32 + -32 = 0 0 + -48n = 76 + -32 -48n = 76 + -32 Combine like terms: 76 + -32 = 44 -48n = 44 Divide each side by '-48'. n = -0.9166666667 Simplifying n = -0.9166666667
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