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Simplifying 24 = (12 + -1w) + (12 + L) Remove parenthesis around (12 + -1w) 24 = 12 + -1w + (12 + L) Remove parenthesis around (12 + L) 24 = 12 + -1w + 12 + L Reorder the terms: 24 = 12 + 12 + L + -1w Combine like terms: 12 + 12 = 24 24 = 24 + L + -1w Add '-24' to each side of the equation. 24 + -24 = 24 + L + -24 + -1w Combine like terms: 24 + -24 = 0 0 = 24 + L + -24 + -1w Reorder the terms: 0 = 24 + -24 + L + -1w Combine like terms: 24 + -24 = 0 0 = 0 + L + -1w 0 = L + -1w Solving 0 = L + -1w Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-1L' to each side of the equation. 0 + -1L = L + -1L + -1w Remove the zero: -1L = L + -1L + -1w Combine like terms: L + -1L = 0 -1L = 0 + -1w -1L = -1w Divide each side by '-1'. L = w Simplifying L = w
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