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Simplifying (12 + -1n) * 6 = 5(n + -3) + 1 Reorder the terms for easier multiplication: 6(12 + -1n) = 5(n + -3) + 1 (12 * 6 + -1n * 6) = 5(n + -3) + 1 (72 + -6n) = 5(n + -3) + 1 Reorder the terms: 72 + -6n = 5(-3 + n) + 1 72 + -6n = (-3 * 5 + n * 5) + 1 72 + -6n = (-15 + 5n) + 1 Reorder the terms: 72 + -6n = -15 + 1 + 5n Combine like terms: -15 + 1 = -14 72 + -6n = -14 + 5n Solving 72 + -6n = -14 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 72 + -6n + -5n = -14 + 5n + -5n Combine like terms: -6n + -5n = -11n 72 + -11n = -14 + 5n + -5n Combine like terms: 5n + -5n = 0 72 + -11n = -14 + 0 72 + -11n = -14 Add '-72' to each side of the equation. 72 + -72 + -11n = -14 + -72 Combine like terms: 72 + -72 = 0 0 + -11n = -14 + -72 -11n = -14 + -72 Combine like terms: -14 + -72 = -86 -11n = -86 Divide each side by '-11'. n = 7.818181818 Simplifying n = 7.818181818
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