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Simplifying 0.1z + 0.9(z + 0.3) = 2.07 Reorder the terms: 0.1z + 0.9(0.3 + z) = 2.07 0.1z + (0.3 * 0.9 + z * 0.9) = 2.07 0.1z + (0.27 + 0.9z) = 2.07 Reorder the terms: 0.27 + 0.1z + 0.9z = 2.07 Combine like terms: 0.1z + 0.9z = 1z 0.27 + 1z = 2.07 Solving 0.27 + 1z = 2.07 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.27' to each side of the equation. 0.27 + -0.27 + 1z = 2.07 + -0.27 Combine like terms: 0.27 + -0.27 = 0.00 0.00 + 1z = 2.07 + -0.27 1z = 2.07 + -0.27 Combine like terms: 2.07 + -0.27 = 1.8 1z = 1.8 Divide each side by '1'. z = 1.8 Simplifying z = 1.8
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