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Simplifying 3.2z = 1.7z + 3.4(z + -2) Reorder the terms: 3.2z = 1.7z + 3.4(-2 + z) 3.2z = 1.7z + (-2 * 3.4 + z * 3.4) 3.2z = 1.7z + (-6.8 + 3.4z) Reorder the terms: 3.2z = -6.8 + 1.7z + 3.4z Combine like terms: 1.7z + 3.4z = 5.1z 3.2z = -6.8 + 5.1z Solving 3.2z = -6.8 + 5.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.1z' to each side of the equation. 3.2z + -5.1z = -6.8 + 5.1z + -5.1z Combine like terms: 3.2z + -5.1z = -1.9z -1.9z = -6.8 + 5.1z + -5.1z Combine like terms: 5.1z + -5.1z = 0.0 -1.9z = -6.8 + 0.0 -1.9z = -6.8 Divide each side by '-1.9'. z = 3.578947368 Simplifying z = 3.578947368
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