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Simplifying 7(3n + 3) = 6(8n + 1) + 1 Reorder the terms: 7(3 + 3n) = 6(8n + 1) + 1 (3 * 7 + 3n * 7) = 6(8n + 1) + 1 (21 + 21n) = 6(8n + 1) + 1 Reorder the terms: 21 + 21n = 6(1 + 8n) + 1 21 + 21n = (1 * 6 + 8n * 6) + 1 21 + 21n = (6 + 48n) + 1 Reorder the terms: 21 + 21n = 6 + 1 + 48n Combine like terms: 6 + 1 = 7 21 + 21n = 7 + 48n Solving 21 + 21n = 7 + 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 = 7 + 48n + -48n Combine like terms: 21n + -48n = -27n 21 + -27n = 7 + 48n + -48n Combine like terms: 48n + -48n = 0 21 + -27n = 7 + 0 21 + -27n = 7 Add '-21' to each side of the equation. 21 + -21 + -27n = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -27n = 7 + -21 -27n = 7 + -21 Combine like terms: 7 + -21 = -14 -27n = -14 Divide each side by '-27'. n = 0.5185185185 Simplifying n = 0.5185185185
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