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Simplifying 0.2z + 0.16 = -0.7z + -0.83 Reorder the terms: 0.16 + 0.2z = -0.7z + -0.83 Reorder the terms: 0.16 + 0.2z = -0.83 + -0.7z Solving 0.16 + 0.2z = -0.83 + -0.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.7z' to each side of the equation. 0.16 + 0.2z + 0.7z = -0.83 + -0.7z + 0.7z Combine like terms: 0.2z + 0.7z = 0.9z 0.16 + 0.9z = -0.83 + -0.7z + 0.7z Combine like terms: -0.7z + 0.7z = 0.0 0.16 + 0.9z = -0.83 + 0.0 0.16 + 0.9z = -0.83 Add '-0.16' to each side of the equation. 0.16 + -0.16 + 0.9z = -0.83 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + 0.9z = -0.83 + -0.16 0.9z = -0.83 + -0.16 Combine like terms: -0.83 + -0.16 = -0.99 0.9z = -0.99 Divide each side by '0.9'. z = -1.1 Simplifying z = -1.1
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