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Simplifying 0.1w + 0.2x + 0.5y + 0.2z = 18 Solving 0.1w + 0.2x + 0.5y + 0.2z = 18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.1w + 0.2x + 0.5y + -0.2x + 0.2z = 18 + -0.2x Reorder the terms: 0.1w + 0.2x + -0.2x + 0.5y + 0.2z = 18 + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.1w + 0.0 + 0.5y + 0.2z = 18 + -0.2x 0.1w + 0.5y + 0.2z = 18 + -0.2x Add '-0.5y' to each side of the equation. 0.1w + 0.5y + -0.5y + 0.2z = 18 + -0.2x + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 0.1w + 0.0 + 0.2z = 18 + -0.2x + -0.5y 0.1w + 0.2z = 18 + -0.2x + -0.5y Add '-0.2z' to each side of the equation. 0.1w + 0.2z + -0.2z = 18 + -0.2x + -0.5y + -0.2z Combine like terms: 0.2z + -0.2z = 0.0 0.1w + 0.0 = 18 + -0.2x + -0.5y + -0.2z 0.1w = 18 + -0.2x + -0.5y + -0.2z Divide each side by '0.1'. w = 180 + -2x + -5y + -2z Simplifying w = 180 + -2x + -5y + -2z
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