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Simplifying 7.4 = 2.7(z + 3.2) Reorder the terms: 7.4 = 2.7(3.2 + z) 7.4 = (3.2 * 2.7 + z * 2.7) 7.4 = (8.64 + 2.7z) Solving 7.4 = 8.64 + 2.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.7z' to each side of the equation. 7.4 + -2.7z = 8.64 + 2.7z + -2.7z Combine like terms: 2.7z + -2.7z = 0.0 7.4 + -2.7z = 8.64 + 0.0 7.4 + -2.7z = 8.64 Add '-7.4' to each side of the equation. 7.4 + -7.4 + -2.7z = 8.64 + -7.4 Combine like terms: 7.4 + -7.4 = 0.0 0.0 + -2.7z = 8.64 + -7.4 -2.7z = 8.64 + -7.4 Combine like terms: 8.64 + -7.4 = 1.24 -2.7z = 1.24 Divide each side by '-2.7'. z = -0.4592592593 Simplifying z = -0.4592592593
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