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Simplifying 50L + 45M + 42S = max Solving 50L + 45M + 42S = amx Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-45M' to each side of the equation. 50L + 45M + -45M + 42S = -45M + amx Combine like terms: 45M + -45M = 0 50L + 0 + 42S = -45M + amx 50L + 42S = -45M + amx Add '-42S' to each side of the equation. 50L + 42S + -42S = -45M + -42S + amx Combine like terms: 42S + -42S = 0 50L + 0 = -45M + -42S + amx 50L = -45M + -42S + amx Divide each side by '50'. L = -0.9M + -0.84S + 0.02amx Simplifying L = -0.9M + -0.84S + 0.02amx
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