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Simplifying 8(3n + 5) = 7(8n + 2) + 4 Reorder the terms: 8(5 + 3n) = 7(8n + 2) + 4 (5 * 8 + 3n * 8) = 7(8n + 2) + 4 (40 + 24n) = 7(8n + 2) + 4 Reorder the terms: 40 + 24n = 7(2 + 8n) + 4 40 + 24n = (2 * 7 + 8n * 7) + 4 40 + 24n = (14 + 56n) + 4 Reorder the terms: 40 + 24n = 14 + 4 + 56n Combine like terms: 14 + 4 = 18 40 + 24n = 18 + 56n Solving 40 + 24n = 18 + 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. 40 + 24n + -56n = 18 + 56n + -56n Combine like terms: 24n + -56n = -32n 40 + -32n = 18 + 56n + -56n Combine like terms: 56n + -56n = 0 40 + -32n = 18 + 0 40 + -32n = 18 Add '-40' to each side of the equation. 40 + -40 + -32n = 18 + -40 Combine like terms: 40 + -40 = 0 0 + -32n = 18 + -40 -32n = 18 + -40 Combine like terms: 18 + -40 = -22 -32n = -22 Divide each side by '-32'. n = 0.6875 Simplifying n = 0.6875
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