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Simplifying 5(2l + 8) = 100 Reorder the terms: 5(8 + 2l) = 100 (8 * 5 + 2l * 5) = 100 (40 + 10l) = 100 Solving 40 + 10l = 100 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 10l = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 10l = 100 + -40 10l = 100 + -40 Combine like terms: 100 + -40 = 60 10l = 60 Divide each side by '10'. l = 6 Simplifying l = 6
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