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Simplifying 3n + 43 = -40n Reorder the terms: 43 + 3n = -40n Solving 43 + 3n = -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 43 + 3n + 40n = -40n + 40n Combine like terms: 3n + 40n = 43n 43 + 43n = -40n + 40n Combine like terms: -40n + 40n = 0 43 + 43n = 0 Add '-43' to each side of the equation. 43 + -43 + 43n = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 43n = 0 + -43 43n = 0 + -43 Combine like terms: 0 + -43 = -43 43n = -43 Divide each side by '43'. n = -1 Simplifying n = -1
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