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Simplifying 12 + 10.1 = 10z + -1.9 + -9z Combine like terms: 12 + 10.1 = 22.1 22.1 = 10z + -1.9 + -9z Reorder the terms: 22.1 = -1.9 + 10z + -9z Combine like terms: 10z + -9z = 1z 22.1 = -1.9 + 1z Solving 22.1 = -1.9 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 22.1 + -1z = -1.9 + 1z + -1z Combine like terms: 1z + -1z = 0 22.1 + -1z = -1.9 + 0 22.1 + -1z = -1.9 Add '-22.1' to each side of the equation. 22.1 + -22.1 + -1z = -1.9 + -22.1 Combine like terms: 22.1 + -22.1 = 0.0 0.0 + -1z = -1.9 + -22.1 -1z = -1.9 + -22.1 Combine like terms: -1.9 + -22.1 = -24 -1z = -24 Divide each side by '-1'. z = 24 Simplifying z = 24
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