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Simplifying 5(3n + 3) = 6(8n + 9) + 8 Reorder the terms: 5(3 + 3n) = 6(8n + 9) + 8 (3 * 5 + 3n * 5) = 6(8n + 9) + 8 (15 + 15n) = 6(8n + 9) + 8 Reorder the terms: 15 + 15n = 6(9 + 8n) + 8 15 + 15n = (9 * 6 + 8n * 6) + 8 15 + 15n = (54 + 48n) + 8 Reorder the terms: 15 + 15n = 54 + 8 + 48n Combine like terms: 54 + 8 = 62 15 + 15n = 62 + 48n Solving 15 + 15n = 62 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 15 + 15n + -48n = 62 + 48n + -48n Combine like terms: 15n + -48n = -33n 15 + -33n = 62 + 48n + -48n Combine like terms: 48n + -48n = 0 15 + -33n = 62 + 0 15 + -33n = 62 Add '-15' to each side of the equation. 15 + -15 + -33n = 62 + -15 Combine like terms: 15 + -15 = 0 0 + -33n = 62 + -15 -33n = 62 + -15 Combine like terms: 62 + -15 = 47 -33n = 47 Divide each side by '-33'. n = -1.424242424 Simplifying n = -1.424242424
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