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Simplifying 1 + -2n = 3n + 31 Reorder the terms: 1 + -2n = 31 + 3n Solving 1 + -2n = 31 + 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. 1 + -2n + -3n = 31 + 3n + -3n Combine like terms: -2n + -3n = -5n 1 + -5n = 31 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + -5n = 31 + 0 1 + -5n = 31 Add '-1' to each side of the equation. 1 + -1 + -5n = 31 + -1 Combine like terms: 1 + -1 = 0 0 + -5n = 31 + -1 -5n = 31 + -1 Combine like terms: 31 + -1 = 30 -5n = 30 Divide each side by '-5'. n = -6 Simplifying n = -6
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