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Simplifying 7(3n + 4) = 8(7n + 2) + 5 Reorder the terms: 7(4 + 3n) = 8(7n + 2) + 5 (4 * 7 + 3n * 7) = 8(7n + 2) + 5 (28 + 21n) = 8(7n + 2) + 5 Reorder the terms: 28 + 21n = 8(2 + 7n) + 5 28 + 21n = (2 * 8 + 7n * 8) + 5 28 + 21n = (16 + 56n) + 5 Reorder the terms: 28 + 21n = 16 + 5 + 56n Combine like terms: 16 + 5 = 21 28 + 21n = 21 + 56n Solving 28 + 21n = 21 + 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. 28 + 21n + -56n = 21 + 56n + -56n Combine like terms: 21n + -56n = -35n 28 + -35n = 21 + 56n + -56n Combine like terms: 56n + -56n = 0 28 + -35n = 21 + 0 28 + -35n = 21 Add '-28' to each side of the equation. 28 + -28 + -35n = 21 + -28 Combine like terms: 28 + -28 = 0 0 + -35n = 21 + -28 -35n = 21 + -28 Combine like terms: 21 + -28 = -7 -35n = -7 Divide each side by '-35'. n = 0.2 Simplifying n = 0.2
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