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Simplifying -19.71 + -4.7z = 0.1z + 18.89 + 9.4 Reorder the terms: -19.71 + -4.7z = 18.89 + 9.4 + 0.1z Combine like terms: 18.89 + 9.4 = 28.29 -19.71 + -4.7z = 28.29 + 0.1z Solving -19.71 + -4.7z = 28.29 + 0.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.1z' to each side of the equation. -19.71 + -4.7z + -0.1z = 28.29 + 0.1z + -0.1z Combine like terms: -4.7z + -0.1z = -4.8z -19.71 + -4.8z = 28.29 + 0.1z + -0.1z Combine like terms: 0.1z + -0.1z = 0.0 -19.71 + -4.8z = 28.29 + 0.0 -19.71 + -4.8z = 28.29 Add '19.71' to each side of the equation. -19.71 + 19.71 + -4.8z = 28.29 + 19.71 Combine like terms: -19.71 + 19.71 = 0.00 0.00 + -4.8z = 28.29 + 19.71 -4.8z = 28.29 + 19.71 Combine like terms: 28.29 + 19.71 = 48 -4.8z = 48 Divide each side by '-4.8'. z = -10 Simplifying z = -10
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