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Simplifying 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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