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Simplifying 8 + -6n + 3n = 38 + -84 Combine like terms: -6n + 3n = -3n 8 + -3n = 38 + -84 Combine like terms: 38 + -84 = -46 8 + -3n = -46 Solving 8 + -3n = -46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3n = -46 + -8 Combine like terms: 8 + -8 = 0 0 + -3n = -46 + -8 -3n = -46 + -8 Combine like terms: -46 + -8 = -54 -3n = -54 Divide each side by '-3'. n = 18 Simplifying n = 18
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