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Simplifying 24 = 2(L + -4) + 2(W + 4) Reorder the terms: 24 = 2(-4 + L) + 2(W + 4) 24 = (-4 * 2 + L * 2) + 2(W + 4) 24 = (-8 + 2L) + 2(W + 4) Reorder the terms: 24 = -8 + 2L + 2(4 + W) 24 = -8 + 2L + (4 * 2 + W * 2) 24 = -8 + 2L + (8 + 2W) Reorder the terms: 24 = -8 + 8 + 2L + 2W Combine like terms: -8 + 8 = 0 24 = 0 + 2L + 2W 24 = 2L + 2W Solving 24 = 2L + 2W 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. 24 + -2L = 2L + -2L + 2W Combine like terms: 2L + -2L = 0 24 + -2L = 0 + 2W 24 + -2L = 2W Add '-24' to each side of the equation. 24 + -24 + -2L = -24 + 2W Combine like terms: 24 + -24 = 0 0 + -2L = -24 + 2W -2L = -24 + 2W Divide each side by '-2'. L = 12 + -1W Simplifying L = 12 + -1W
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