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Simplifying 0.8z + 0.2(z + 0.4) = -1.74 Reorder the terms: 0.8z + 0.2(0.4 + z) = -1.74 0.8z + (0.4 * 0.2 + z * 0.2) = -1.74 0.8z + (0.08 + 0.2z) = -1.74 Reorder the terms: 0.08 + 0.8z + 0.2z = -1.74 Combine like terms: 0.8z + 0.2z = 1z 0.08 + 1z = -1.74 Solving 0.08 + 1z = -1.74 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.08' to each side of the equation. 0.08 + -0.08 + 1z = -1.74 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + 1z = -1.74 + -0.08 1z = -1.74 + -0.08 Combine like terms: -1.74 + -0.08 = -1.82 1z = -1.82 Divide each side by '1'. z = -1.82 Simplifying z = -1.82
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