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Simplifying 1n + 2 = 10 + 5n Reorder the terms: 2 + 1n = 10 + 5n Solving 2 + 1n = 10 + 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. 2 + 1n + -5n = 10 + 5n + -5n Combine like terms: 1n + -5n = -4n 2 + -4n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 2 + -4n = 10 + 0 2 + -4n = 10 Add '-2' to each side of the equation. 2 + -2 + -4n = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -4n = 10 + -2 -4n = 10 + -2 Combine like terms: 10 + -2 = 8 -4n = 8 Divide each side by '-4'. n = -2 Simplifying n = -2
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