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Simplifying 8(3n + 3) = 6(8n + 5) + 3 Reorder the terms: 8(3 + 3n) = 6(8n + 5) + 3 (3 * 8 + 3n * 8) = 6(8n + 5) + 3 (24 + 24n) = 6(8n + 5) + 3 Reorder the terms: 24 + 24n = 6(5 + 8n) + 3 24 + 24n = (5 * 6 + 8n * 6) + 3 24 + 24n = (30 + 48n) + 3 Reorder the terms: 24 + 24n = 30 + 3 + 48n Combine like terms: 30 + 3 = 33 24 + 24n = 33 + 48n Solving 24 + 24n = 33 + 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. 24 + 24n + -48n = 33 + 48n + -48n Combine like terms: 24n + -48n = -24n 24 + -24n = 33 + 48n + -48n Combine like terms: 48n + -48n = 0 24 + -24n = 33 + 0 24 + -24n = 33 Add '-24' to each side of the equation. 24 + -24 + -24n = 33 + -24 Combine like terms: 24 + -24 = 0 0 + -24n = 33 + -24 -24n = 33 + -24 Combine like terms: 33 + -24 = 9 -24n = 9 Divide each side by '-24'. n = -0.375 Simplifying n = -0.375
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