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Simplifying 43 + -3n = 9(3n + -9) + n Reorder the terms: 43 + -3n = 9(-9 + 3n) + n 43 + -3n = (-9 * 9 + 3n * 9) + n 43 + -3n = (-81 + 27n) + n Combine like terms: 27n + n = 28n 43 + -3n = -81 + 28n Solving 43 + -3n = -81 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 43 + -3n + -28n = -81 + 28n + -28n Combine like terms: -3n + -28n = -31n 43 + -31n = -81 + 28n + -28n Combine like terms: 28n + -28n = 0 43 + -31n = -81 + 0 43 + -31n = -81 Add '-43' to each side of the equation. 43 + -43 + -31n = -81 + -43 Combine like terms: 43 + -43 = 0 0 + -31n = -81 + -43 -31n = -81 + -43 Combine like terms: -81 + -43 = -124 -31n = -124 Divide each side by '-31'. n = 4 Simplifying n = 4
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