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Simplifying -3.6z + 1.3 = 0.2z + -0.6 Reorder the terms: 1.3 + -3.6z = 0.2z + -0.6 Reorder the terms: 1.3 + -3.6z = -0.6 + 0.2z Solving 1.3 + -3.6z = -0.6 + 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. 1.3 + -3.6z + -0.2z = -0.6 + 0.2z + -0.2z Combine like terms: -3.6z + -0.2z = -3.8z 1.3 + -3.8z = -0.6 + 0.2z + -0.2z Combine like terms: 0.2z + -0.2z = 0.0 1.3 + -3.8z = -0.6 + 0.0 1.3 + -3.8z = -0.6 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -3.8z = -0.6 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -3.8z = -0.6 + -1.3 -3.8z = -0.6 + -1.3 Combine like terms: -0.6 + -1.3 = -1.9 -3.8z = -1.9 Divide each side by '-3.8'. z = 0.5 Simplifying z = 0.5
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