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Simplifying 3(3n + 3) = 6(8n + 2) + 9 Reorder the terms: 3(3 + 3n) = 6(8n + 2) + 9 (3 * 3 + 3n * 3) = 6(8n + 2) + 9 (9 + 9n) = 6(8n + 2) + 9 Reorder the terms: 9 + 9n = 6(2 + 8n) + 9 9 + 9n = (2 * 6 + 8n * 6) + 9 9 + 9n = (12 + 48n) + 9 Reorder the terms: 9 + 9n = 12 + 9 + 48n Combine like terms: 12 + 9 = 21 9 + 9n = 21 + 48n Solving 9 + 9n = 21 + 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. 9 + 9n + -48n = 21 + 48n + -48n Combine like terms: 9n + -48n = -39n 9 + -39n = 21 + 48n + -48n Combine like terms: 48n + -48n = 0 9 + -39n = 21 + 0 9 + -39n = 21 Add '-9' to each side of the equation. 9 + -9 + -39n = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -39n = 21 + -9 -39n = 21 + -9 Combine like terms: 21 + -9 = 12 -39n = 12 Divide each side by '-39'. n = -0.3076923077 Simplifying n = -0.3076923077
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