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Simplifying 5.9 + 5.8 = 1.8z + -0.8z + 8.9 Combine like terms: 5.9 + 5.8 = 11.7 11.7 = 1.8z + -0.8z + 8.9 Reorder the terms: 11.7 = 8.9 + 1.8z + -0.8z Combine like terms: 1.8z + -0.8z = 1z 11.7 = 8.9 + 1z Solving 11.7 = 8.9 + 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. 11.7 + -1z = 8.9 + 1z + -1z Combine like terms: 1z + -1z = 0 11.7 + -1z = 8.9 + 0 11.7 + -1z = 8.9 Add '-11.7' to each side of the equation. 11.7 + -11.7 + -1z = 8.9 + -11.7 Combine like terms: 11.7 + -11.7 = 0.0 0.0 + -1z = 8.9 + -11.7 -1z = 8.9 + -11.7 Combine like terms: 8.9 + -11.7 = -2.8 -1z = -2.8 Divide each side by '-1'. z = 2.8 Simplifying z = 2.8
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