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Simplifying 0.5(4l + 2) = 3(l + 2) Reorder the terms: 0.5(2 + 4l) = 3(l + 2) (2 * 0.5 + 4l * 0.5) = 3(l + 2) (1 + 2l) = 3(l + 2) Reorder the terms: 1 + 2l = 3(2 + l) 1 + 2l = (2 * 3 + l * 3) 1 + 2l = (6 + 3l) Solving 1 + 2l = 6 + 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. 1 + 2l + -3l = 6 + 3l + -3l Combine like terms: 2l + -3l = -1l 1 + -1l = 6 + 3l + -3l Combine like terms: 3l + -3l = 0 1 + -1l = 6 + 0 1 + -1l = 6 Add '-1' to each side of the equation. 1 + -1 + -1l = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -1l = 6 + -1 -1l = 6 + -1 Combine like terms: 6 + -1 = 5 -1l = 5 Divide each side by '-1'. l = -5 Simplifying l = -5
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