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Simplifying 3n + 43 = 6n + 76 Reorder the terms: 43 + 3n = 6n + 76 Reorder the terms: 43 + 3n = 76 + 6n Solving 43 + 3n = 76 + 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 + 3n + -6n = 76 + 6n + -6n Combine like terms: 3n + -6n = -3n 43 + -3n = 76 + 6n + -6n Combine like terms: 6n + -6n = 0 43 + -3n = 76 + 0 43 + -3n = 76 Add '-43' to each side of the equation. 43 + -43 + -3n = 76 + -43 Combine like terms: 43 + -43 = 0 0 + -3n = 76 + -43 -3n = 76 + -43 Combine like terms: 76 + -43 = 33 -3n = 33 Divide each side by '-3'. n = -11 Simplifying n = -11
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