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Simplifying 5(4 + -1n) = 6n + -46 (4 * 5 + -1n * 5) = 6n + -46 (20 + -5n) = 6n + -46 Reorder the terms: 20 + -5n = -46 + 6n Solving 20 + -5n = -46 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 20 + -5n + -6n = -46 + 6n + -6n Combine like terms: -5n + -6n = -11n 20 + -11n = -46 + 6n + -6n Combine like terms: 6n + -6n = 0 20 + -11n = -46 + 0 20 + -11n = -46 Add '-20' to each side of the equation. 20 + -20 + -11n = -46 + -20 Combine like terms: 20 + -20 = 0 0 + -11n = -46 + -20 -11n = -46 + -20 Combine like terms: -46 + -20 = -66 -11n = -66 Divide each side by '-11'. n = 6 Simplifying n = 6
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