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Simplifying 5n + -6 + -1n + 10 = 12 Reorder the terms: -6 + 10 + 5n + -1n = 12 Combine like terms: -6 + 10 = 4 4 + 5n + -1n = 12 Combine like terms: 5n + -1n = 4n 4 + 4n = 12 Solving 4 + 4n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4n = 12 + -4 4n = 12 + -4 Combine like terms: 12 + -4 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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