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Simplifying 6(2n + 5) = 6(6n + 9) + 5 Reorder the terms: 6(5 + 2n) = 6(6n + 9) + 5 (5 * 6 + 2n * 6) = 6(6n + 9) + 5 (30 + 12n) = 6(6n + 9) + 5 Reorder the terms: 30 + 12n = 6(9 + 6n) + 5 30 + 12n = (9 * 6 + 6n * 6) + 5 30 + 12n = (54 + 36n) + 5 Reorder the terms: 30 + 12n = 54 + 5 + 36n Combine like terms: 54 + 5 = 59 30 + 12n = 59 + 36n Solving 30 + 12n = 59 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 30 + 12n + -36n = 59 + 36n + -36n Combine like terms: 12n + -36n = -24n 30 + -24n = 59 + 36n + -36n Combine like terms: 36n + -36n = 0 30 + -24n = 59 + 0 30 + -24n = 59 Add '-30' to each side of the equation. 30 + -30 + -24n = 59 + -30 Combine like terms: 30 + -30 = 0 0 + -24n = 59 + -30 -24n = 59 + -30 Combine like terms: 59 + -30 = 29 -24n = 29 Divide each side by '-24'. n = -1.208333333 Simplifying n = -1.208333333
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