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Simplifying (z) * 2443.73 + (1 + -0.17 + -1z) * 584.28 + (0.17) * 908.79 = 561.47 Reorder the terms for easier multiplication: 2443.73z + (1 + -0.17 + -1z) * 584.28 + (0.17) * 908.79 = 561.47 Combine like terms: 1 + -0.17 = 0.83 2443.73z + (0.83 + -1z) * 584.28 + (0.17) * 908.79 = 561.47 Reorder the terms for easier multiplication: 2443.73z + 584.28(0.83 + -1z) + (0.17) * 908.79 = 561.47 2443.73z + (0.83 * 584.28 + -1z * 584.28) + (0.17) * 908.79 = 561.47 2443.73z + (484.9524 + -584.28z) + (0.17) * 908.79 = 561.47 Multiply 0.17 * 908.79 2443.73z + 484.9524 + -584.28z + 154.4943 = 561.47 Reorder the terms: 484.9524 + 154.4943 + 2443.73z + -584.28z = 561.47 Combine like terms: 484.9524 + 154.4943 = 639.4467 639.4467 + 2443.73z + -584.28z = 561.47 Combine like terms: 2443.73z + -584.28z = 1859.45z 639.4467 + 1859.45z = 561.47 Solving 639.4467 + 1859.45z = 561.47 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-639.4467' to each side of the equation. 639.4467 + -639.4467 + 1859.45z = 561.47 + -639.4467 Combine like terms: 639.4467 + -639.4467 = 0.0000 0.0000 + 1859.45z = 561.47 + -639.4467 1859.45z = 561.47 + -639.4467 Combine like terms: 561.47 + -639.4467 = -77.9767 1859.45z = -77.9767 Divide each side by '1859.45'. z = -0.04193535723 Simplifying z = -0.04193535723
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