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Simplifying 5(2n + 2) = 8(7n + 1) + 7 Reorder the terms: 5(2 + 2n) = 8(7n + 1) + 7 (2 * 5 + 2n * 5) = 8(7n + 1) + 7 (10 + 10n) = 8(7n + 1) + 7 Reorder the terms: 10 + 10n = 8(1 + 7n) + 7 10 + 10n = (1 * 8 + 7n * 8) + 7 10 + 10n = (8 + 56n) + 7 Reorder the terms: 10 + 10n = 8 + 7 + 56n Combine like terms: 8 + 7 = 15 10 + 10n = 15 + 56n Solving 10 + 10n = 15 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 10 + 10n + -56n = 15 + 56n + -56n Combine like terms: 10n + -56n = -46n 10 + -46n = 15 + 56n + -56n Combine like terms: 56n + -56n = 0 10 + -46n = 15 + 0 10 + -46n = 15 Add '-10' to each side of the equation. 10 + -10 + -46n = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -46n = 15 + -10 -46n = 15 + -10 Combine like terms: 15 + -10 = 5 -46n = 5 Divide each side by '-46'. n = -0.1086956522 Simplifying n = -0.1086956522
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