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Simplifying 8(3n + 5) = 8(9n + 9) + 6 Reorder the terms: 8(5 + 3n) = 8(9n + 9) + 6 (5 * 8 + 3n * 8) = 8(9n + 9) + 6 (40 + 24n) = 8(9n + 9) + 6 Reorder the terms: 40 + 24n = 8(9 + 9n) + 6 40 + 24n = (9 * 8 + 9n * 8) + 6 40 + 24n = (72 + 72n) + 6 Reorder the terms: 40 + 24n = 72 + 6 + 72n Combine like terms: 72 + 6 = 78 40 + 24n = 78 + 72n Solving 40 + 24n = 78 + 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. 40 + 24n + -72n = 78 + 72n + -72n Combine like terms: 24n + -72n = -48n 40 + -48n = 78 + 72n + -72n Combine like terms: 72n + -72n = 0 40 + -48n = 78 + 0 40 + -48n = 78 Add '-40' to each side of the equation. 40 + -40 + -48n = 78 + -40 Combine like terms: 40 + -40 = 0 0 + -48n = 78 + -40 -48n = 78 + -40 Combine like terms: 78 + -40 = 38 -48n = 38 Divide each side by '-48'. n = -0.7916666667 Simplifying n = -0.7916666667
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