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Simplifying 0.8z + 2.7 = 0.1z + 9 Reorder the terms: 2.7 + 0.8z = 0.1z + 9 Reorder the terms: 2.7 + 0.8z = 9 + 0.1z Solving 2.7 + 0.8z = 9 + 0.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.1z' to each side of the equation. 2.7 + 0.8z + -0.1z = 9 + 0.1z + -0.1z Combine like terms: 0.8z + -0.1z = 0.7z 2.7 + 0.7z = 9 + 0.1z + -0.1z Combine like terms: 0.1z + -0.1z = 0.0 2.7 + 0.7z = 9 + 0.0 2.7 + 0.7z = 9 Add '-2.7' to each side of the equation. 2.7 + -2.7 + 0.7z = 9 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 0.7z = 9 + -2.7 0.7z = 9 + -2.7 Combine like terms: 9 + -2.7 = 6.3 0.7z = 6.3 Divide each side by '0.7'. z = 9 Simplifying z = 9
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