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Simplifying 6n + -2 + 6n + 10 = 3 + 5n + 6n Reorder the terms: -2 + 10 + 6n + 6n = 3 + 5n + 6n Combine like terms: -2 + 10 = 8 8 + 6n + 6n = 3 + 5n + 6n Combine like terms: 6n + 6n = 12n 8 + 12n = 3 + 5n + 6n Combine like terms: 5n + 6n = 11n 8 + 12n = 3 + 11n Solving 8 + 12n = 3 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 8 + 12n + -11n = 3 + 11n + -11n Combine like terms: 12n + -11n = 1n 8 + 1n = 3 + 11n + -11n Combine like terms: 11n + -11n = 0 8 + 1n = 3 + 0 8 + 1n = 3 Add '-8' to each side of the equation. 8 + -8 + 1n = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 1n = 3 + -8 1n = 3 + -8 Combine like terms: 3 + -8 = -5 1n = -5 Divide each side by '1'. n = -5 Simplifying n = -5
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