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Simplifying 3(3n + 4) = 56 + 6n Reorder the terms: 3(4 + 3n) = 56 + 6n (4 * 3 + 3n * 3) = 56 + 6n (12 + 9n) = 56 + 6n Solving 12 + 9n = 56 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 12 + 9n + -6n = 56 + 6n + -6n Combine like terms: 9n + -6n = 3n 12 + 3n = 56 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + 3n = 56 + 0 12 + 3n = 56 Add '-12' to each side of the equation. 12 + -12 + 3n = 56 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = 56 + -12 3n = 56 + -12 Combine like terms: 56 + -12 = 44 3n = 44 Divide each side by '3'. n = 14.66666667 Simplifying n = 14.66666667
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