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Simplifying 46 = 2(l + 8) Reorder the terms: 46 = 2(8 + l) 46 = (8 * 2 + l * 2) 46 = (16 + 2l) Solving 46 = 16 + 2l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2l' to each side of the equation. 46 + -2l = 16 + 2l + -2l Combine like terms: 2l + -2l = 0 46 + -2l = 16 + 0 46 + -2l = 16 Add '-46' to each side of the equation. 46 + -46 + -2l = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -2l = 16 + -46 -2l = 16 + -46 Combine like terms: 16 + -46 = -30 -2l = -30 Divide each side by '-2'. l = 15 Simplifying l = 15
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