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