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Simplifying 2z + -17.78 + 10.7z = 14.6z + 8.06 Reorder the terms: -17.78 + 2z + 10.7z = 14.6z + 8.06 Combine like terms: 2z + 10.7z = 12.7z -17.78 + 12.7z = 14.6z + 8.06 Reorder the terms: -17.78 + 12.7z = 8.06 + 14.6z Solving -17.78 + 12.7z = 8.06 + 14.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14.6z' to each side of the equation. -17.78 + 12.7z + -14.6z = 8.06 + 14.6z + -14.6z Combine like terms: 12.7z + -14.6z = -1.9z -17.78 + -1.9z = 8.06 + 14.6z + -14.6z Combine like terms: 14.6z + -14.6z = 0.0 -17.78 + -1.9z = 8.06 + 0.0 -17.78 + -1.9z = 8.06 Add '17.78' to each side of the equation. -17.78 + 17.78 + -1.9z = 8.06 + 17.78 Combine like terms: -17.78 + 17.78 = 0.00 0.00 + -1.9z = 8.06 + 17.78 -1.9z = 8.06 + 17.78 Combine like terms: 8.06 + 17.78 = 25.84 -1.9z = 25.84 Divide each side by '-1.9'. z = -13.6 Simplifying z = -13.6
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