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Simplifying -2n + 12 = 3n + -31 Reorder the terms: 12 + -2n = 3n + -31 Reorder the terms: 12 + -2n = -31 + 3n Solving 12 + -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. 12 + -2n + -3n = -31 + 3n + -3n Combine like terms: -2n + -3n = -5n 12 + -5n = -31 + 3n + -3n Combine like terms: 3n + -3n = 0 12 + -5n = -31 + 0 12 + -5n = -31 Add '-12' to each side of the equation. 12 + -12 + -5n = -31 + -12 Combine like terms: 12 + -12 = 0 0 + -5n = -31 + -12 -5n = -31 + -12 Combine like terms: -31 + -12 = -43 -5n = -43 Divide each side by '-5'. n = 8.6 Simplifying n = 8.6
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