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Simplifying 6(n + 12) + 11 = 11n + -7 Reorder the terms: 6(12 + n) + 11 = 11n + -7 (12 * 6 + n * 6) + 11 = 11n + -7 (72 + 6n) + 11 = 11n + -7 Reorder the terms: 72 + 11 + 6n = 11n + -7 Combine like terms: 72 + 11 = 83 83 + 6n = 11n + -7 Reorder the terms: 83 + 6n = -7 + 11n Solving 83 + 6n = -7 + 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. 83 + 6n + -11n = -7 + 11n + -11n Combine like terms: 6n + -11n = -5n 83 + -5n = -7 + 11n + -11n Combine like terms: 11n + -11n = 0 83 + -5n = -7 + 0 83 + -5n = -7 Add '-83' to each side of the equation. 83 + -83 + -5n = -7 + -83 Combine like terms: 83 + -83 = 0 0 + -5n = -7 + -83 -5n = -7 + -83 Combine like terms: -7 + -83 = -90 -5n = -90 Divide each side by '-5'. n = 18 Simplifying n = 18
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