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Simplifying 3.7(z + 4) + 4.1z = 0 Reorder the terms: 3.7(4 + z) + 4.1z = 0 (4 * 3.7 + z * 3.7) + 4.1z = 0 (14.8 + 3.7z) + 4.1z = 0 Combine like terms: 3.7z + 4.1z = 7.8z 14.8 + 7.8z = 0 Solving 14.8 + 7.8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14.8' to each side of the equation. 14.8 + -14.8 + 7.8z = 0 + -14.8 Combine like terms: 14.8 + -14.8 = 0.0 0.0 + 7.8z = 0 + -14.8 7.8z = 0 + -14.8 Combine like terms: 0 + -14.8 = -14.8 7.8z = -14.8 Divide each side by '7.8'. z = -1.897435897 Simplifying z = -1.897435897
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