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Simplifying 5L + 2(3w + 4) = 2L + -2 Reorder the terms: 5L + 2(4 + 3w) = 2L + -2 5L + (4 * 2 + 3w * 2) = 2L + -2 5L + (8 + 6w) = 2L + -2 Reorder the terms: 8 + 5L + 6w = 2L + -2 Reorder the terms: 8 + 5L + 6w = -2 + 2L Solving 8 + 5L + 6w = -2 + 2L Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-2L' to each side of the equation. 8 + 5L + -2L + 6w = -2 + 2L + -2L Combine like terms: 5L + -2L = 3L 8 + 3L + 6w = -2 + 2L + -2L Combine like terms: 2L + -2L = 0 8 + 3L + 6w = -2 + 0 8 + 3L + 6w = -2 Add '-8' to each side of the equation. 8 + 3L + -8 + 6w = -2 + -8 Reorder the terms: 8 + -8 + 3L + 6w = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 3L + 6w = -2 + -8 3L + 6w = -2 + -8 Combine like terms: -2 + -8 = -10 3L + 6w = -10 Add '-6w' to each side of the equation. 3L + 6w + -6w = -10 + -6w Combine like terms: 6w + -6w = 0 3L + 0 = -10 + -6w 3L = -10 + -6w Divide each side by '3'. L = -3.333333333 + -2w Simplifying L = -3.333333333 + -2w
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