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Simplifying 6(2l + 3) = 5(4l + 2) Reorder the terms: 6(3 + 2l) = 5(4l + 2) (3 * 6 + 2l * 6) = 5(4l + 2) (18 + 12l) = 5(4l + 2) Reorder the terms: 18 + 12l = 5(2 + 4l) 18 + 12l = (2 * 5 + 4l * 5) 18 + 12l = (10 + 20l) Solving 18 + 12l = 10 + 20l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-20l' to each side of the equation. 18 + 12l + -20l = 10 + 20l + -20l Combine like terms: 12l + -20l = -8l 18 + -8l = 10 + 20l + -20l Combine like terms: 20l + -20l = 0 18 + -8l = 10 + 0 18 + -8l = 10 Add '-18' to each side of the equation. 18 + -18 + -8l = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -8l = 10 + -18 -8l = 10 + -18 Combine like terms: 10 + -18 = -8 -8l = -8 Divide each side by '-8'. l = 1 Simplifying l = 1
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