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Simplifying 4(8 + -4n) + 5(n + 5) + 25 = 46 (8 * 4 + -4n * 4) + 5(n + 5) + 25 = 46 (32 + -16n) + 5(n + 5) + 25 = 46 Reorder the terms: 32 + -16n + 5(5 + n) + 25 = 46 32 + -16n + (5 * 5 + n * 5) + 25 = 46 32 + -16n + (25 + 5n) + 25 = 46 Reorder the terms: 32 + 25 + 25 + -16n + 5n = 46 Combine like terms: 32 + 25 = 57 57 + 25 + -16n + 5n = 46 Combine like terms: 57 + 25 = 82 82 + -16n + 5n = 46 Combine like terms: -16n + 5n = -11n 82 + -11n = 46 Solving 82 + -11n = 46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + -11n = 46 + -82 Combine like terms: 82 + -82 = 0 0 + -11n = 46 + -82 -11n = 46 + -82 Combine like terms: 46 + -82 = -36 -11n = -36 Divide each side by '-11'. n = 3.272727273 Simplifying n = 3.272727273
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