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Simplifying 2(2l + 8) = 40 Reorder the terms: 2(8 + 2l) = 40 (8 * 2 + 2l * 2) = 40 (16 + 4l) = 40 Solving 16 + 4l = 40 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4l = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 4l = 40 + -16 4l = 40 + -16 Combine like terms: 40 + -16 = 24 4l = 24 Divide each side by '4'. l = 6 Simplifying l = 6
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