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Simplifying 7(2n + 5) = 8(9n + 8) + 2 Reorder the terms: 7(5 + 2n) = 8(9n + 8) + 2 (5 * 7 + 2n * 7) = 8(9n + 8) + 2 (35 + 14n) = 8(9n + 8) + 2 Reorder the terms: 35 + 14n = 8(8 + 9n) + 2 35 + 14n = (8 * 8 + 9n * 8) + 2 35 + 14n = (64 + 72n) + 2 Reorder the terms: 35 + 14n = 64 + 2 + 72n Combine like terms: 64 + 2 = 66 35 + 14n = 66 + 72n Solving 35 + 14n = 66 + 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. 35 + 14n + -72n = 66 + 72n + -72n Combine like terms: 14n + -72n = -58n 35 + -58n = 66 + 72n + -72n Combine like terms: 72n + -72n = 0 35 + -58n = 66 + 0 35 + -58n = 66 Add '-35' to each side of the equation. 35 + -35 + -58n = 66 + -35 Combine like terms: 35 + -35 = 0 0 + -58n = 66 + -35 -58n = 66 + -35 Combine like terms: 66 + -35 = 31 -58n = 31 Divide each side by '-58'. n = -0.5344827586 Simplifying n = -0.5344827586
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