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Simplifying 2.4 + 7.5 = 8.1z + -7.1z + 6.7 Combine like terms: 2.4 + 7.5 = 9.9 9.9 = 8.1z + -7.1z + 6.7 Reorder the terms: 9.9 = 6.7 + 8.1z + -7.1z Combine like terms: 8.1z + -7.1z = 1z 9.9 = 6.7 + 1z Solving 9.9 = 6.7 + 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. 9.9 + -1z = 6.7 + 1z + -1z Combine like terms: 1z + -1z = 0 9.9 + -1z = 6.7 + 0 9.9 + -1z = 6.7 Add '-9.9' to each side of the equation. 9.9 + -9.9 + -1z = 6.7 + -9.9 Combine like terms: 9.9 + -9.9 = 0.0 0.0 + -1z = 6.7 + -9.9 -1z = 6.7 + -9.9 Combine like terms: 6.7 + -9.9 = -3.2 -1z = -3.2 Divide each side by '-1'. z = 3.2 Simplifying z = 3.2
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