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Simplifying 5L + 2(3w + 4) = 21 + -2 Reorder the terms: 5L + 2(4 + 3w) = 21 + -2 5L + (4 * 2 + 3w * 2) = 21 + -2 5L + (8 + 6w) = 21 + -2 Reorder the terms: 8 + 5L + 6w = 21 + -2 Combine like terms: 21 + -2 = 19 8 + 5L + 6w = 19 Solving 8 + 5L + 6w = 19 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5L + -8 + 6w = 19 + -8 Reorder the terms: 8 + -8 + 5L + 6w = 19 + -8 Combine like terms: 8 + -8 = 0 0 + 5L + 6w = 19 + -8 5L + 6w = 19 + -8 Combine like terms: 19 + -8 = 11 5L + 6w = 11 Add '-6w' to each side of the equation. 5L + 6w + -6w = 11 + -6w Combine like terms: 6w + -6w = 0 5L + 0 = 11 + -6w 5L = 11 + -6w Divide each side by '5'. L = 2.2 + -1.2w Simplifying L = 2.2 + -1.2w
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