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Simplifying 4(l + 1) = 3(l + 4) Reorder the terms: 4(1 + l) = 3(l + 4) (1 * 4 + l * 4) = 3(l + 4) (4 + 4l) = 3(l + 4) Reorder the terms: 4 + 4l = 3(4 + l) 4 + 4l = (4 * 3 + l * 3) 4 + 4l = (12 + 3l) Solving 4 + 4l = 12 + 3l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3l' to each side of the equation. 4 + 4l + -3l = 12 + 3l + -3l Combine like terms: 4l + -3l = 1l 4 + 1l = 12 + 3l + -3l Combine like terms: 3l + -3l = 0 4 + 1l = 12 + 0 4 + 1l = 12 Add '-4' to each side of the equation. 4 + -4 + 1l = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1l = 12 + -4 1l = 12 + -4 Combine like terms: 12 + -4 = 8 1l = 8 Divide each side by '1'. l = 8 Simplifying l = 8
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