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Simplifying 800 = 2l + 2(l + -50) Reorder the terms: 800 = 2l + 2(-50 + l) 800 = 2l + (-50 * 2 + l * 2) 800 = 2l + (-100 + 2l) Reorder the terms: 800 = -100 + 2l + 2l Combine like terms: 2l + 2l = 4l 800 = -100 + 4l Solving 800 = -100 + 4l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4l' to each side of the equation. 800 + -4l = -100 + 4l + -4l Combine like terms: 4l + -4l = 0 800 + -4l = -100 + 0 800 + -4l = -100 Add '-800' to each side of the equation. 800 + -800 + -4l = -100 + -800 Combine like terms: 800 + -800 = 0 0 + -4l = -100 + -800 -4l = -100 + -800 Combine like terms: -100 + -800 = -900 -4l = -900 Divide each side by '-4'. l = 225 Simplifying l = 225
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