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Simplifying 7(2n + 5) = 8(7n + 6) + 7 Reorder the terms: 7(5 + 2n) = 8(7n + 6) + 7 (5 * 7 + 2n * 7) = 8(7n + 6) + 7 (35 + 14n) = 8(7n + 6) + 7 Reorder the terms: 35 + 14n = 8(6 + 7n) + 7 35 + 14n = (6 * 8 + 7n * 8) + 7 35 + 14n = (48 + 56n) + 7 Reorder the terms: 35 + 14n = 48 + 7 + 56n Combine like terms: 48 + 7 = 55 35 + 14n = 55 + 56n Solving 35 + 14n = 55 + 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. 35 + 14n + -56n = 55 + 56n + -56n Combine like terms: 14n + -56n = -42n 35 + -42n = 55 + 56n + -56n Combine like terms: 56n + -56n = 0 35 + -42n = 55 + 0 35 + -42n = 55 Add '-35' to each side of the equation. 35 + -35 + -42n = 55 + -35 Combine like terms: 35 + -35 = 0 0 + -42n = 55 + -35 -42n = 55 + -35 Combine like terms: 55 + -35 = 20 -42n = 20 Divide each side by '-42'. n = -0.4761904762 Simplifying n = -0.4761904762
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