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Simplifying 0.9z + 3.6 = 0.5z + 6 Reorder the terms: 3.6 + 0.9z = 0.5z + 6 Reorder the terms: 3.6 + 0.9z = 6 + 0.5z Solving 3.6 + 0.9z = 6 + 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. 3.6 + 0.9z + -0.5z = 6 + 0.5z + -0.5z Combine like terms: 0.9z + -0.5z = 0.4z 3.6 + 0.4z = 6 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 3.6 + 0.4z = 6 + 0.0 3.6 + 0.4z = 6 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 0.4z = 6 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 0.4z = 6 + -3.6 0.4z = 6 + -3.6 Combine like terms: 6 + -3.6 = 2.4 0.4z = 2.4 Divide each side by '0.4'. z = 6 Simplifying z = 6
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