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Simplifying 5(3n + 2) = 8(9n + 8) + 8 Reorder the terms: 5(2 + 3n) = 8(9n + 8) + 8 (2 * 5 + 3n * 5) = 8(9n + 8) + 8 (10 + 15n) = 8(9n + 8) + 8 Reorder the terms: 10 + 15n = 8(8 + 9n) + 8 10 + 15n = (8 * 8 + 9n * 8) + 8 10 + 15n = (64 + 72n) + 8 Reorder the terms: 10 + 15n = 64 + 8 + 72n Combine like terms: 64 + 8 = 72 10 + 15n = 72 + 72n Solving 10 + 15n = 72 + 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. 10 + 15n + -72n = 72 + 72n + -72n Combine like terms: 15n + -72n = -57n 10 + -57n = 72 + 72n + -72n Combine like terms: 72n + -72n = 0 10 + -57n = 72 + 0 10 + -57n = 72 Add '-10' to each side of the equation. 10 + -10 + -57n = 72 + -10 Combine like terms: 10 + -10 = 0 0 + -57n = 72 + -10 -57n = 72 + -10 Combine like terms: 72 + -10 = 62 -57n = 62 Divide each side by '-57'. n = -1.087719298 Simplifying n = -1.087719298
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