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Simplifying 1 + -8n + 2n = 12 + 5n Combine like terms: -8n + 2n = -6n 1 + -6n = 12 + 5n Solving 1 + -6n = 12 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 1 + -6n + -5n = 12 + 5n + -5n Combine like terms: -6n + -5n = -11n 1 + -11n = 12 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + -11n = 12 + 0 1 + -11n = 12 Add '-1' to each side of the equation. 1 + -1 + -11n = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -11n = 12 + -1 -11n = 12 + -1 Combine like terms: 12 + -1 = 11 -11n = 11 Divide each side by '-11'. n = -1 Simplifying n = -1
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