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Simplifying 4(0.75z + 7.5) = 1.25z + 22.5 + -0.25z + 7.5 Reorder the terms: 4(7.5 + 0.75z) = 1.25z + 22.5 + -0.25z + 7.5 (7.5 * 4 + 0.75z * 4) = 1.25z + 22.5 + -0.25z + 7.5 (30 + 3z) = 1.25z + 22.5 + -0.25z + 7.5 Reorder the terms: 30 + 3z = 22.5 + 7.5 + 1.25z + -0.25z Combine like terms: 22.5 + 7.5 = 30 30 + 3z = 30 + 1.25z + -0.25z Combine like terms: 1.25z + -0.25z = 1z 30 + 3z = 30 + 1z Add '-30' to each side of the equation. 30 + -30 + 3z = 30 + -30 + 1z Combine like terms: 30 + -30 = 0 0 + 3z = 30 + -30 + 1z 3z = 30 + -30 + 1z Combine like terms: 30 + -30 = 0 3z = 0 + 1z 3z = 1z Solving 3z = 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 3z + -1z = 1z + -1z Combine like terms: 3z + -1z = 2z 2z = 1z + -1z Combine like terms: 1z + -1z = 0 2z = 0 Divide each side by '2'. z = 0 Simplifying z = 0
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