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Simplifying 6L + 36 = 2(42 + 2L) + -1L Reorder the terms: 36 + 6L = 2(42 + 2L) + -1L 36 + 6L = (42 * 2 + 2L * 2) + -1L 36 + 6L = (84 + 4L) + -1L Combine like terms: 4L + -1L = 3L 36 + 6L = 84 + 3L Solving 36 + 6L = 84 + 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. 36 + 6L + -3L = 84 + 3L + -3L Combine like terms: 6L + -3L = 3L 36 + 3L = 84 + 3L + -3L Combine like terms: 3L + -3L = 0 36 + 3L = 84 + 0 36 + 3L = 84 Add '-36' to each side of the equation. 36 + -36 + 3L = 84 + -36 Combine like terms: 36 + -36 = 0 0 + 3L = 84 + -36 3L = 84 + -36 Combine like terms: 84 + -36 = 48 3L = 48 Divide each side by '3'. L = 16 Simplifying L = 16
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