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Simplifying 0.875(0.7 + z) = 9z + 0.777 (0.7 * 0.875 + z * 0.875) = 9z + 0.777 (0.6125 + 0.875z) = 9z + 0.777 Reorder the terms: 0.6125 + 0.875z = 0.777 + 9z Solving 0.6125 + 0.875z = 0.777 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 0.6125 + 0.875z + -9z = 0.777 + 9z + -9z Combine like terms: 0.875z + -9z = -8.125z 0.6125 + -8.125z = 0.777 + 9z + -9z Combine like terms: 9z + -9z = 0 0.6125 + -8.125z = 0.777 + 0 0.6125 + -8.125z = 0.777 Add '-0.6125' to each side of the equation. 0.6125 + -0.6125 + -8.125z = 0.777 + -0.6125 Combine like terms: 0.6125 + -0.6125 = 0.0000 0.0000 + -8.125z = 0.777 + -0.6125 -8.125z = 0.777 + -0.6125 Combine like terms: 0.777 + -0.6125 = 0.1645 -8.125z = 0.1645 Divide each side by '-8.125'. z = -0.02024615385 Simplifying z = -0.02024615385
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