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Simplifying -4z + -0.4 + -4.7z + 2.5z + 2 = 0 Reorder the terms: -0.4 + 2 + -4z + -4.7z + 2.5z = 0 Combine like terms: -0.4 + 2 = 1.6 1.6 + -4z + -4.7z + 2.5z = 0 Combine like terms: -4z + -4.7z = -8.7z 1.6 + -8.7z + 2.5z = 0 Combine like terms: -8.7z + 2.5z = -6.2z 1.6 + -6.2z = 0 Solving 1.6 + -6.2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.6' to each side of the equation. 1.6 + -1.6 + -6.2z = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -6.2z = 0 + -1.6 -6.2z = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 -6.2z = -1.6 Divide each side by '-6.2'. z = 0.2580645161 Simplifying z = 0.2580645161
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