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Simplifying 2l + 2(l + 8) = 52 Reorder the terms: 2l + 2(8 + l) = 52 2l + (8 * 2 + l * 2) = 52 2l + (16 + 2l) = 52 Reorder the terms: 16 + 2l + 2l = 52 Combine like terms: 2l + 2l = 4l 16 + 4l = 52 Solving 16 + 4l = 52 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 = 52 + -16 Combine like terms: 16 + -16 = 0 0 + 4l = 52 + -16 4l = 52 + -16 Combine like terms: 52 + -16 = 36 4l = 36 Divide each side by '4'. l = 9 Simplifying l = 9
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