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Simplifying 8 + -6n = 3n + 42 Reorder the terms: 8 + -6n = 42 + 3n Solving 8 + -6n = 42 + 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. 8 + -6n + -3n = 42 + 3n + -3n Combine like terms: -6n + -3n = -9n 8 + -9n = 42 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + -9n = 42 + 0 8 + -9n = 42 Add '-8' to each side of the equation. 8 + -8 + -9n = 42 + -8 Combine like terms: 8 + -8 = 0 0 + -9n = 42 + -8 -9n = 42 + -8 Combine like terms: 42 + -8 = 34 -9n = 34 Divide each side by '-9'. n = -3.777777778 Simplifying n = -3.777777778
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