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Simplifying 0.76 + 0.2z = 1.23 + -0.6z Solving 0.76 + 0.2z = 1.23 + -0.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.6z' to each side of the equation. 0.76 + 0.2z + 0.6z = 1.23 + -0.6z + 0.6z Combine like terms: 0.2z + 0.6z = 0.8z 0.76 + 0.8z = 1.23 + -0.6z + 0.6z Combine like terms: -0.6z + 0.6z = 0.0 0.76 + 0.8z = 1.23 + 0.0 0.76 + 0.8z = 1.23 Add '-0.76' to each side of the equation. 0.76 + -0.76 + 0.8z = 1.23 + -0.76 Combine like terms: 0.76 + -0.76 = 0.00 0.00 + 0.8z = 1.23 + -0.76 0.8z = 1.23 + -0.76 Combine like terms: 1.23 + -0.76 = 0.47 0.8z = 0.47 Divide each side by '0.8'. z = 0.5875 Simplifying z = 0.5875
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