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Simplifying (6n + 5) = 3(9n + 1) Reorder the terms: (5 + 6n) = 3(9n + 1) Remove parenthesis around (5 + 6n) 5 + 6n = 3(9n + 1) Reorder the terms: 5 + 6n = 3(1 + 9n) 5 + 6n = (1 * 3 + 9n * 3) 5 + 6n = (3 + 27n) Solving 5 + 6n = 3 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. 5 + 6n + -27n = 3 + 27n + -27n Combine like terms: 6n + -27n = -21n 5 + -21n = 3 + 27n + -27n Combine like terms: 27n + -27n = 0 5 + -21n = 3 + 0 5 + -21n = 3 Add '-5' to each side of the equation. 5 + -5 + -21n = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -21n = 3 + -5 -21n = 3 + -5 Combine like terms: 3 + -5 = -2 -21n = -2 Divide each side by '-21'. n = 0.09523809524 Simplifying n = 0.09523809524
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