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Simplifying 7(3n + 4) = 7(8n + 9) + 4 Reorder the terms: 7(4 + 3n) = 7(8n + 9) + 4 (4 * 7 + 3n * 7) = 7(8n + 9) + 4 (28 + 21n) = 7(8n + 9) + 4 Reorder the terms: 28 + 21n = 7(9 + 8n) + 4 28 + 21n = (9 * 7 + 8n * 7) + 4 28 + 21n = (63 + 56n) + 4 Reorder the terms: 28 + 21n = 63 + 4 + 56n Combine like terms: 63 + 4 = 67 28 + 21n = 67 + 56n Solving 28 + 21n = 67 + 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 = 67 + 56n + -56n Combine like terms: 21n + -56n = -35n 28 + -35n = 67 + 56n + -56n Combine like terms: 56n + -56n = 0 28 + -35n = 67 + 0 28 + -35n = 67 Add '-28' to each side of the equation. 28 + -28 + -35n = 67 + -28 Combine like terms: 28 + -28 = 0 0 + -35n = 67 + -28 -35n = 67 + -28 Combine like terms: 67 + -28 = 39 -35n = 39 Divide each side by '-35'. n = -1.114285714 Simplifying n = -1.114285714
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