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Simplifying 0.6275w + 0.2500x + 0.400y + 0.200z = 93.75 Solving 0.6275w + 0.2500x + 0.400y + 0.200z = 93.75 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.2500x' to each side of the equation. 0.6275w + 0.2500x + 0.400y + -0.2500x + 0.200z = 93.75 + -0.2500x Reorder the terms: 0.6275w + 0.2500x + -0.2500x + 0.400y + 0.200z = 93.75 + -0.2500x Combine like terms: 0.2500x + -0.2500x = 0.0000 0.6275w + 0.0000 + 0.400y + 0.200z = 93.75 + -0.2500x 0.6275w + 0.400y + 0.200z = 93.75 + -0.2500x Add '-0.400y' to each side of the equation. 0.6275w + 0.400y + -0.400y + 0.200z = 93.75 + -0.2500x + -0.400y Combine like terms: 0.400y + -0.400y = 0.000 0.6275w + 0.000 + 0.200z = 93.75 + -0.2500x + -0.400y 0.6275w + 0.200z = 93.75 + -0.2500x + -0.400y Add '-0.200z' to each side of the equation. 0.6275w + 0.200z + -0.200z = 93.75 + -0.2500x + -0.400y + -0.200z Combine like terms: 0.200z + -0.200z = 0.000 0.6275w + 0.000 = 93.75 + -0.2500x + -0.400y + -0.200z 0.6275w = 93.75 + -0.2500x + -0.400y + -0.200z Divide each side by '0.6275'. w = 149.4023904 + -0.3984063745x + -0.6374501992y + -0.3187250996z Simplifying w = 149.4023904 + -0.3984063745x + -0.6374501992y + -0.3187250996z
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