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Simplifying 4(3n + 3) = 8(5n + 1) + 1 Reorder the terms: 4(3 + 3n) = 8(5n + 1) + 1 (3 * 4 + 3n * 4) = 8(5n + 1) + 1 (12 + 12n) = 8(5n + 1) + 1 Reorder the terms: 12 + 12n = 8(1 + 5n) + 1 12 + 12n = (1 * 8 + 5n * 8) + 1 12 + 12n = (8 + 40n) + 1 Reorder the terms: 12 + 12n = 8 + 1 + 40n Combine like terms: 8 + 1 = 9 12 + 12n = 9 + 40n Solving 12 + 12n = 9 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 12 + 12n + -40n = 9 + 40n + -40n Combine like terms: 12n + -40n = -28n 12 + -28n = 9 + 40n + -40n Combine like terms: 40n + -40n = 0 12 + -28n = 9 + 0 12 + -28n = 9 Add '-12' to each side of the equation. 12 + -12 + -28n = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -28n = 9 + -12 -28n = 9 + -12 Combine like terms: 9 + -12 = -3 -28n = -3 Divide each side by '-28'. n = 0.1071428571 Simplifying n = 0.1071428571
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