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Simplifying 4.5 + 3.1z + 5.2 + -5.2z = 8.65 Reorder the terms: 4.5 + 5.2 + 3.1z + -5.2z = 8.65 Combine like terms: 4.5 + 5.2 = 9.7 9.7 + 3.1z + -5.2z = 8.65 Combine like terms: 3.1z + -5.2z = -2.1z 9.7 + -2.1z = 8.65 Solving 9.7 + -2.1z = 8.65 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9.7' to each side of the equation. 9.7 + -9.7 + -2.1z = 8.65 + -9.7 Combine like terms: 9.7 + -9.7 = 0.0 0.0 + -2.1z = 8.65 + -9.7 -2.1z = 8.65 + -9.7 Combine like terms: 8.65 + -9.7 = -1.05 -2.1z = -1.05 Divide each side by '-2.1'. z = 0.5 Simplifying z = 0.5
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