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Simplifying 0.5z + 6.6 = 0.3z + 8 Reorder the terms: 6.6 + 0.5z = 0.3z + 8 Reorder the terms: 6.6 + 0.5z = 8 + 0.3z Solving 6.6 + 0.5z = 8 + 0.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.3z' to each side of the equation. 6.6 + 0.5z + -0.3z = 8 + 0.3z + -0.3z Combine like terms: 0.5z + -0.3z = 0.2z 6.6 + 0.2z = 8 + 0.3z + -0.3z Combine like terms: 0.3z + -0.3z = 0.0 6.6 + 0.2z = 8 + 0.0 6.6 + 0.2z = 8 Add '-6.6' to each side of the equation. 6.6 + -6.6 + 0.2z = 8 + -6.6 Combine like terms: 6.6 + -6.6 = 0.0 0.0 + 0.2z = 8 + -6.6 0.2z = 8 + -6.6 Combine like terms: 8 + -6.6 = 1.4 0.2z = 1.4 Divide each side by '0.2'. z = 7 Simplifying z = 7
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