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Simplifying -8.2z + -17.08 + 17.1z = 10.12 + 10.5z Reorder the terms: -17.08 + -8.2z + 17.1z = 10.12 + 10.5z Combine like terms: -8.2z + 17.1z = 8.9z -17.08 + 8.9z = 10.12 + 10.5z Solving -17.08 + 8.9z = 10.12 + 10.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10.5z' to each side of the equation. -17.08 + 8.9z + -10.5z = 10.12 + 10.5z + -10.5z Combine like terms: 8.9z + -10.5z = -1.6z -17.08 + -1.6z = 10.12 + 10.5z + -10.5z Combine like terms: 10.5z + -10.5z = 0.0 -17.08 + -1.6z = 10.12 + 0.0 -17.08 + -1.6z = 10.12 Add '17.08' to each side of the equation. -17.08 + 17.08 + -1.6z = 10.12 + 17.08 Combine like terms: -17.08 + 17.08 = 0.00 0.00 + -1.6z = 10.12 + 17.08 -1.6z = 10.12 + 17.08 Combine like terms: 10.12 + 17.08 = 27.2 -1.6z = 27.2 Divide each side by '-1.6'. z = -17 Simplifying z = -17
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