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Simplifying 0.7z + 7 = 8.1z + -19.4 Reorder the terms: 7 + 0.7z = 8.1z + -19.4 Reorder the terms: 7 + 0.7z = -19.4 + 8.1z Solving 7 + 0.7z = -19.4 + 8.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8.1z' to each side of the equation. 7 + 0.7z + -8.1z = -19.4 + 8.1z + -8.1z Combine like terms: 0.7z + -8.1z = -7.4z 7 + -7.4z = -19.4 + 8.1z + -8.1z Combine like terms: 8.1z + -8.1z = 0.0 7 + -7.4z = -19.4 + 0.0 7 + -7.4z = -19.4 Add '-7' to each side of the equation. 7 + -7 + -7.4z = -19.4 + -7 Combine like terms: 7 + -7 = 0 0 + -7.4z = -19.4 + -7 -7.4z = -19.4 + -7 Combine like terms: -19.4 + -7 = -26.4 -7.4z = -26.4 Divide each side by '-7.4'. z = 3.567567568 Simplifying z = 3.567567568
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