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