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Simplifying -0.1z + -13.97 + 16.1z = 17.7z + 3.88 Reorder the terms: -13.97 + -0.1z + 16.1z = 17.7z + 3.88 Combine like terms: -0.1z + 16.1z = 16z -13.97 + 16z = 17.7z + 3.88 Reorder the terms: -13.97 + 16z = 3.88 + 17.7z Solving -13.97 + 16z = 3.88 + 17.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17.7z' to each side of the equation. -13.97 + 16z + -17.7z = 3.88 + 17.7z + -17.7z Combine like terms: 16z + -17.7z = -1.7z -13.97 + -1.7z = 3.88 + 17.7z + -17.7z Combine like terms: 17.7z + -17.7z = 0.0 -13.97 + -1.7z = 3.88 + 0.0 -13.97 + -1.7z = 3.88 Add '13.97' to each side of the equation. -13.97 + 13.97 + -1.7z = 3.88 + 13.97 Combine like terms: -13.97 + 13.97 = 0.00 0.00 + -1.7z = 3.88 + 13.97 -1.7z = 3.88 + 13.97 Combine like terms: 3.88 + 13.97 = 17.85 -1.7z = 17.85 Divide each side by '-1.7'. z = -10.5 Simplifying z = -10.5
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