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Simplifying (2n + -6n + 5n + 2) + (7n + 2n + -2n) = 0 Reorder the terms: (2 + 2n + -6n + 5n) + (7n + 2n + -2n) = 0 Combine like terms: 2n + -6n = -4n (2 + -4n + 5n) + (7n + 2n + -2n) = 0 Combine like terms: -4n + 5n = 1n (2 + 1n) + (7n + 2n + -2n) = 0 Remove parenthesis around (2 + 1n) 2 + 1n + (7n + 2n + -2n) = 0 Combine like terms: 7n + 2n = 9n 2 + 1n + (9n + -2n) = 0 Combine like terms: 9n + -2n = 7n 2 + 1n + (7n) = 0 2 + 1n + (7n) = 0 Combine like terms: 1n + (7n) = 8n 2 + 8n = 0 Solving 2 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8n = 0 + -2 8n = 0 + -2 Combine like terms: 0 + -2 = -2 8n = -2 Divide each side by '8'. n = -0.25 Simplifying n = -0.25
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