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Simplifying 12(n + 5) + -10 = 11n + 2 Reorder the terms: 12(5 + n) + -10 = 11n + 2 (5 * 12 + n * 12) + -10 = 11n + 2 (60 + 12n) + -10 = 11n + 2 Reorder the terms: 60 + -10 + 12n = 11n + 2 Combine like terms: 60 + -10 = 50 50 + 12n = 11n + 2 Reorder the terms: 50 + 12n = 2 + 11n Solving 50 + 12n = 2 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 50 + 12n + -11n = 2 + 11n + -11n Combine like terms: 12n + -11n = 1n 50 + 1n = 2 + 11n + -11n Combine like terms: 11n + -11n = 0 50 + 1n = 2 + 0 50 + 1n = 2 Add '-50' to each side of the equation. 50 + -50 + 1n = 2 + -50 Combine like terms: 50 + -50 = 0 0 + 1n = 2 + -50 1n = 2 + -50 Combine like terms: 2 + -50 = -48 1n = -48 Divide each side by '1'. n = -48 Simplifying n = -48
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