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Simplifying 7(3n + 3) = 6(8n + 2) + 6 Reorder the terms: 7(3 + 3n) = 6(8n + 2) + 6 (3 * 7 + 3n * 7) = 6(8n + 2) + 6 (21 + 21n) = 6(8n + 2) + 6 Reorder the terms: 21 + 21n = 6(2 + 8n) + 6 21 + 21n = (2 * 6 + 8n * 6) + 6 21 + 21n = (12 + 48n) + 6 Reorder the terms: 21 + 21n = 12 + 6 + 48n Combine like terms: 12 + 6 = 18 21 + 21n = 18 + 48n Solving 21 + 21n = 18 + 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. 21 + 21n + -48n = 18 + 48n + -48n Combine like terms: 21n + -48n = -27n 21 + -27n = 18 + 48n + -48n Combine like terms: 48n + -48n = 0 21 + -27n = 18 + 0 21 + -27n = 18 Add '-21' to each side of the equation. 21 + -21 + -27n = 18 + -21 Combine like terms: 21 + -21 = 0 0 + -27n = 18 + -21 -27n = 18 + -21 Combine like terms: 18 + -21 = -3 -27n = -3 Divide each side by '-27'. n = 0.1111111111 Simplifying n = 0.1111111111
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