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Simplifying n + 126 = -3n + 6 Reorder the terms: 126 + n = -3n + 6 Reorder the terms: 126 + n = 6 + -3n Solving 126 + n = 6 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 126 + n + 3n = 6 + -3n + 3n Combine like terms: n + 3n = 4n 126 + 4n = 6 + -3n + 3n Combine like terms: -3n + 3n = 0 126 + 4n = 6 + 0 126 + 4n = 6 Add '-126' to each side of the equation. 126 + -126 + 4n = 6 + -126 Combine like terms: 126 + -126 = 0 0 + 4n = 6 + -126 4n = 6 + -126 Combine like terms: 6 + -126 = -120 4n = -120 Divide each side by '4'. n = -30 Simplifying n = -30
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