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Simplifying 0.04(3z + 5) = 0.1(z + 5) Reorder the terms: 0.04(5 + 3z) = 0.1(z + 5) (5 * 0.04 + 3z * 0.04) = 0.1(z + 5) (0.2 + 0.12z) = 0.1(z + 5) Reorder the terms: 0.2 + 0.12z = 0.1(5 + z) 0.2 + 0.12z = (5 * 0.1 + z * 0.1) 0.2 + 0.12z = (0.5 + 0.1z) Solving 0.2 + 0.12z = 0.5 + 0.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.1z' to each side of the equation. 0.2 + 0.12z + -0.1z = 0.5 + 0.1z + -0.1z Combine like terms: 0.12z + -0.1z = 0.02z 0.2 + 0.02z = 0.5 + 0.1z + -0.1z Combine like terms: 0.1z + -0.1z = 0.0 0.2 + 0.02z = 0.5 + 0.0 0.2 + 0.02z = 0.5 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.02z = 0.5 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.02z = 0.5 + -0.2 0.02z = 0.5 + -0.2 Combine like terms: 0.5 + -0.2 = 0.3 0.02z = 0.3 Divide each side by '0.02'. z = 15 Simplifying z = 15
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