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Simplifying 4.2 + 3.6 = 2.9z + -1.9z + -0.3 Combine like terms: 4.2 + 3.6 = 7.8 7.8 = 2.9z + -1.9z + -0.3 Reorder the terms: 7.8 = -0.3 + 2.9z + -1.9z Combine like terms: 2.9z + -1.9z = 1z 7.8 = -0.3 + 1z Solving 7.8 = -0.3 + 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. 7.8 + -1z = -0.3 + 1z + -1z Combine like terms: 1z + -1z = 0 7.8 + -1z = -0.3 + 0 7.8 + -1z = -0.3 Add '-7.8' to each side of the equation. 7.8 + -7.8 + -1z = -0.3 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + -1z = -0.3 + -7.8 -1z = -0.3 + -7.8 Combine like terms: -0.3 + -7.8 = -8.1 -1z = -8.1 Divide each side by '-1'. z = 8.1 Simplifying z = 8.1
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