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Simplifying 1.5(4z + 0.25) = 2(z + 0.0625) Reorder the terms: 1.5(0.25 + 4z) = 2(z + 0.0625) (0.25 * 1.5 + 4z * 1.5) = 2(z + 0.0625) (0.375 + 6z) = 2(z + 0.0625) Reorder the terms: 0.375 + 6z = 2(0.0625 + z) 0.375 + 6z = (0.0625 * 2 + z * 2) 0.375 + 6z = (0.125 + 2z) Solving 0.375 + 6z = 0.125 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 0.375 + 6z + -2z = 0.125 + 2z + -2z Combine like terms: 6z + -2z = 4z 0.375 + 4z = 0.125 + 2z + -2z Combine like terms: 2z + -2z = 0 0.375 + 4z = 0.125 + 0 0.375 + 4z = 0.125 Add '-0.375' to each side of the equation. 0.375 + -0.375 + 4z = 0.125 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + 4z = 0.125 + -0.375 4z = 0.125 + -0.375 Combine like terms: 0.125 + -0.375 = -0.25 4z = -0.25 Divide each side by '4'. z = -0.0625 Simplifying z = -0.0625
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