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Simplifying -91 + 85n + 52 = 7(2n + 42) + 35n Reorder the terms: -91 + 52 + 85n = 7(2n + 42) + 35n Combine like terms: -91 + 52 = -39 -39 + 85n = 7(2n + 42) + 35n Reorder the terms: -39 + 85n = 7(42 + 2n) + 35n -39 + 85n = (42 * 7 + 2n * 7) + 35n -39 + 85n = (294 + 14n) + 35n Combine like terms: 14n + 35n = 49n -39 + 85n = 294 + 49n Solving -39 + 85n = 294 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. -39 + 85n + -49n = 294 + 49n + -49n Combine like terms: 85n + -49n = 36n -39 + 36n = 294 + 49n + -49n Combine like terms: 49n + -49n = 0 -39 + 36n = 294 + 0 -39 + 36n = 294 Add '39' to each side of the equation. -39 + 39 + 36n = 294 + 39 Combine like terms: -39 + 39 = 0 0 + 36n = 294 + 39 36n = 294 + 39 Combine like terms: 294 + 39 = 333 36n = 333 Divide each side by '36'. n = 9.25 Simplifying n = 9.25
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