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Simplifying 8(2n + 5) = 8(9n + 5) + 7 Reorder the terms: 8(5 + 2n) = 8(9n + 5) + 7 (5 * 8 + 2n * 8) = 8(9n + 5) + 7 (40 + 16n) = 8(9n + 5) + 7 Reorder the terms: 40 + 16n = 8(5 + 9n) + 7 40 + 16n = (5 * 8 + 9n * 8) + 7 40 + 16n = (40 + 72n) + 7 Reorder the terms: 40 + 16n = 40 + 7 + 72n Combine like terms: 40 + 7 = 47 40 + 16n = 47 + 72n Solving 40 + 16n = 47 + 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. 40 + 16n + -72n = 47 + 72n + -72n Combine like terms: 16n + -72n = -56n 40 + -56n = 47 + 72n + -72n Combine like terms: 72n + -72n = 0 40 + -56n = 47 + 0 40 + -56n = 47 Add '-40' to each side of the equation. 40 + -40 + -56n = 47 + -40 Combine like terms: 40 + -40 = 0 0 + -56n = 47 + -40 -56n = 47 + -40 Combine like terms: 47 + -40 = 7 -56n = 7 Divide each side by '-56'. n = -0.125 Simplifying n = -0.125
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