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Simplifying 8n + 40 = 9n + -45 Reorder the terms: 40 + 8n = 9n + -45 Reorder the terms: 40 + 8n = -45 + 9n Solving 40 + 8n = -45 + 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 = -45 + 9n + -9n Combine like terms: 8n + -9n = -1n 40 + -1n = -45 + 9n + -9n Combine like terms: 9n + -9n = 0 40 + -1n = -45 + 0 40 + -1n = -45 Add '-40' to each side of the equation. 40 + -40 + -1n = -45 + -40 Combine like terms: 40 + -40 = 0 0 + -1n = -45 + -40 -1n = -45 + -40 Combine like terms: -45 + -40 = -85 -1n = -85 Divide each side by '-1'. n = 85 Simplifying n = 85
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