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Simplifying 8(2n + 2) = 8(9n + 1) + 3 Reorder the terms: 8(2 + 2n) = 8(9n + 1) + 3 (2 * 8 + 2n * 8) = 8(9n + 1) + 3 (16 + 16n) = 8(9n + 1) + 3 Reorder the terms: 16 + 16n = 8(1 + 9n) + 3 16 + 16n = (1 * 8 + 9n * 8) + 3 16 + 16n = (8 + 72n) + 3 Reorder the terms: 16 + 16n = 8 + 3 + 72n Combine like terms: 8 + 3 = 11 16 + 16n = 11 + 72n Solving 16 + 16n = 11 + 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. 16 + 16n + -72n = 11 + 72n + -72n Combine like terms: 16n + -72n = -56n 16 + -56n = 11 + 72n + -72n Combine like terms: 72n + -72n = 0 16 + -56n = 11 + 0 16 + -56n = 11 Add '-16' to each side of the equation. 16 + -16 + -56n = 11 + -16 Combine like terms: 16 + -16 = 0 0 + -56n = 11 + -16 -56n = 11 + -16 Combine like terms: 11 + -16 = -5 -56n = -5 Divide each side by '-56'. n = 0.08928571429 Simplifying n = 0.08928571429
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