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Simplifying 45 + 8n = 180 + 5n Solving 45 + 8n = 180 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 45 + 8n + -5n = 180 + 5n + -5n Combine like terms: 8n + -5n = 3n 45 + 3n = 180 + 5n + -5n Combine like terms: 5n + -5n = 0 45 + 3n = 180 + 0 45 + 3n = 180 Add '-45' to each side of the equation. 45 + -45 + 3n = 180 + -45 Combine like terms: 45 + -45 = 0 0 + 3n = 180 + -45 3n = 180 + -45 Combine like terms: 180 + -45 = 135 3n = 135 Divide each side by '3'. n = 45 Simplifying n = 45
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