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Simplifying 8(n + 5) = 9n + -2 Reorder the terms: 8(5 + n) = 9n + -2 (5 * 8 + n * 8) = 9n + -2 (40 + 8n) = 9n + -2 Reorder the terms: 40 + 8n = -2 + 9n Solving 40 + 8n = -2 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 40 + 8n + -9n = -2 + 9n + -9n Combine like terms: 8n + -9n = -1n 40 + -1n = -2 + 9n + -9n Combine like terms: 9n + -9n = 0 40 + -1n = -2 + 0 40 + -1n = -2 Add '-40' to each side of the equation. 40 + -40 + -1n = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -1n = -2 + -40 -1n = -2 + -40 Combine like terms: -2 + -40 = -42 -1n = -42 Divide each side by '-1'. n = 42 Simplifying n = 42
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