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Simplifying -0.3z = 0.5z + 6.16 Reorder the terms: -0.3z = 6.16 + 0.5z Solving -0.3z = 6.16 + 0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5z' to each side of the equation. -0.3z + -0.5z = 6.16 + 0.5z + -0.5z Combine like terms: -0.3z + -0.5z = -0.8z -0.8z = 6.16 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -0.8z = 6.16 + 0.0 -0.8z = 6.16 Divide each side by '-0.8'. z = -7.7 Simplifying z = -7.7
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