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Simplifying 10Z + (0.09X) = 16 + (0.07X) Reorder the terms: (0.09X) + 10Z = 16 + (0.07X) Solving (0.09X) + 10Z = 16 + (0.07X) Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '(-0.07X)' to each side of the equation. (0.09X) + (-0.07X) + 10Z = 16 + (0.07X) + (-0.07X) Combine like terms: (0.09X) + (-0.07X) = 0.02X 0.02X + 10Z = 16 + (0.07X) + (-0.07X) Combine like terms: (0.07X) + (-0.07X) = 0.00 0.02X + 10Z = 16 + 0.00 0.02X + 10Z = 16 Add '-10Z' to each side of the equation. 0.02X + 10Z + -10Z = 16 + -10Z Combine like terms: 10Z + -10Z = 0 0.02X + 0 = 16 + -10Z 0.02X = 16 + -10Z Divide each side by '0.02'. X = 800 + -500Z Simplifying X = 800 + -500Z
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