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Simplifying 0 = 9[7(9z + -8) + 6] + -82 Reorder the terms: 0 = 9[7(-8 + 9z) + 6] + -82 0 = 9[(-8 * 7 + 9z * 7) + 6] + -82 0 = 9[(-56 + 63z) + 6] + -82 Reorder the terms: 0 = 9[-56 + 6 + 63z] + -82 Combine like terms: -56 + 6 = -50 0 = 9[-50 + 63z] + -82 0 = [-50 * 9 + 63z * 9] + -82 0 = [-450 + 567z] + -82 Reorder the terms: 0 = -450 + -82 + 567z Combine like terms: -450 + -82 = -532 0 = -532 + 567z Solving 0 = -532 + 567z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-567z' to each side of the equation. 0 + -567z = -532 + 567z + -567z Remove the zero: -567z = -532 + 567z + -567z Combine like terms: 567z + -567z = 0 -567z = -532 + 0 -567z = -532 Divide each side by '-567'. z = 0.9382716049 Simplifying z = 0.9382716049
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