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Simplifying 0.5x + 3y + 10Z = 100 Reorder the terms: 10Z + 0.5x + 3y = 100 Solving 10Z + 0.5x + 3y = 100 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 10Z + 0.5x + -0.5x + 3y = 100 + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 10Z + 0.0 + 3y = 100 + -0.5x 10Z + 3y = 100 + -0.5x Add '-3y' to each side of the equation. 10Z + 3y + -3y = 100 + -0.5x + -3y Combine like terms: 3y + -3y = 0 10Z + 0 = 100 + -0.5x + -3y 10Z = 100 + -0.5x + -3y Divide each side by '10'. Z = 10 + -0.05x + -0.3y Simplifying Z = 10 + -0.05x + -0.3y
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