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Simplifying 48 + -5(1 + -1n) = 3(4 + -2n) + -2 48 + (1 * -5 + -1n * -5) = 3(4 + -2n) + -2 48 + (-5 + 5n) = 3(4 + -2n) + -2 Combine like terms: 48 + -5 = 43 43 + 5n = 3(4 + -2n) + -2 43 + 5n = (4 * 3 + -2n * 3) + -2 43 + 5n = (12 + -6n) + -2 Reorder the terms: 43 + 5n = 12 + -2 + -6n Combine like terms: 12 + -2 = 10 43 + 5n = 10 + -6n Solving 43 + 5n = 10 + -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. 43 + 5n + 6n = 10 + -6n + 6n Combine like terms: 5n + 6n = 11n 43 + 11n = 10 + -6n + 6n Combine like terms: -6n + 6n = 0 43 + 11n = 10 + 0 43 + 11n = 10 Add '-43' to each side of the equation. 43 + -43 + 11n = 10 + -43 Combine like terms: 43 + -43 = 0 0 + 11n = 10 + -43 11n = 10 + -43 Combine like terms: 10 + -43 = -33 11n = -33 Divide each side by '11'. n = -3 Simplifying n = -3
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