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Simplifying -0.13z + -0.38 = 0.5z + -3 Reorder the terms: -0.38 + -0.13z = 0.5z + -3 Reorder the terms: -0.38 + -0.13z = -3 + 0.5z Solving -0.38 + -0.13z = -3 + 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. -0.38 + -0.13z + -0.5z = -3 + 0.5z + -0.5z Combine like terms: -0.13z + -0.5z = -0.63z -0.38 + -0.63z = -3 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -0.38 + -0.63z = -3 + 0.0 -0.38 + -0.63z = -3 Add '0.38' to each side of the equation. -0.38 + 0.38 + -0.63z = -3 + 0.38 Combine like terms: -0.38 + 0.38 = 0.00 0.00 + -0.63z = -3 + 0.38 -0.63z = -3 + 0.38 Combine like terms: -3 + 0.38 = -2.62 -0.63z = -2.62 Divide each side by '-0.63'. z = 4.158730159 Simplifying z = 4.158730159
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