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Simplifying -7z + 4.2 + 0.7z + -3.8z + -1 = 0 Reorder the terms: 4.2 + -1 + -7z + 0.7z + -3.8z = 0 Combine like terms: 4.2 + -1 = 3.2 3.2 + -7z + 0.7z + -3.8z = 0 Combine like terms: -7z + 0.7z = -6.3z 3.2 + -6.3z + -3.8z = 0 Combine like terms: -6.3z + -3.8z = -10.1z 3.2 + -10.1z = 0 Solving 3.2 + -10.1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + -10.1z = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -10.1z = 0 + -3.2 -10.1z = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 -10.1z = -3.2 Divide each side by '-10.1'. z = 0.3168316832 Simplifying z = 0.3168316832
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