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Simplifying 0.2(1.8 + z) = 0.3z (1.8 * 0.2 + z * 0.2) = 0.3z (0.36 + 0.2z) = 0.3z Solving 0.36 + 0.2z = 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. 0.36 + 0.2z + -0.3z = 0.3z + -0.3z Combine like terms: 0.2z + -0.3z = -0.1z 0.36 + -0.1z = 0.3z + -0.3z Combine like terms: 0.3z + -0.3z = 0.0 0.36 + -0.1z = 0.0 Add '-0.36' to each side of the equation. 0.36 + -0.36 + -0.1z = 0.0 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + -0.1z = 0.0 + -0.36 -0.1z = 0.0 + -0.36 Combine like terms: 0.0 + -0.36 = -0.36 -0.1z = -0.36 Divide each side by '-0.1'. z = 3.6 Simplifying z = 3.6
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