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Simplifying 100 = 5(8 + n) 100 = (8 * 5 + n * 5) 100 = (40 + 5n) Solving 100 = 40 + 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. 100 + -5n = 40 + 5n + -5n Combine like terms: 5n + -5n = 0 100 + -5n = 40 + 0 100 + -5n = 40 Add '-100' to each side of the equation. 100 + -100 + -5n = 40 + -100 Combine like terms: 100 + -100 = 0 0 + -5n = 40 + -100 -5n = 40 + -100 Combine like terms: 40 + -100 = -60 -5n = -60 Divide each side by '-5'. n = 12 Simplifying n = 12
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