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Simplifying 3(3n + 5) = 8(4n + 9) + 5 Reorder the terms: 3(5 + 3n) = 8(4n + 9) + 5 (5 * 3 + 3n * 3) = 8(4n + 9) + 5 (15 + 9n) = 8(4n + 9) + 5 Reorder the terms: 15 + 9n = 8(9 + 4n) + 5 15 + 9n = (9 * 8 + 4n * 8) + 5 15 + 9n = (72 + 32n) + 5 Reorder the terms: 15 + 9n = 72 + 5 + 32n Combine like terms: 72 + 5 = 77 15 + 9n = 77 + 32n Solving 15 + 9n = 77 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 15 + 9n + -32n = 77 + 32n + -32n Combine like terms: 9n + -32n = -23n 15 + -23n = 77 + 32n + -32n Combine like terms: 32n + -32n = 0 15 + -23n = 77 + 0 15 + -23n = 77 Add '-15' to each side of the equation. 15 + -15 + -23n = 77 + -15 Combine like terms: 15 + -15 = 0 0 + -23n = 77 + -15 -23n = 77 + -15 Combine like terms: 77 + -15 = 62 -23n = 62 Divide each side by '-23'. n = -2.695652174 Simplifying n = -2.695652174
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