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Simplifying -1.7z + -5.7 = 0.2z + 19 Reorder the terms: -5.7 + -1.7z = 0.2z + 19 Reorder the terms: -5.7 + -1.7z = 19 + 0.2z Solving -5.7 + -1.7z = 19 + 0.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.2z' to each side of the equation. -5.7 + -1.7z + -0.2z = 19 + 0.2z + -0.2z Combine like terms: -1.7z + -0.2z = -1.9z -5.7 + -1.9z = 19 + 0.2z + -0.2z Combine like terms: 0.2z + -0.2z = 0.0 -5.7 + -1.9z = 19 + 0.0 -5.7 + -1.9z = 19 Add '5.7' to each side of the equation. -5.7 + 5.7 + -1.9z = 19 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + -1.9z = 19 + 5.7 -1.9z = 19 + 5.7 Combine like terms: 19 + 5.7 = 24.7 -1.9z = 24.7 Divide each side by '-1.9'. z = -13 Simplifying z = -13
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