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Simplifying 0.4(25z + -30) = 0.75(12z + 16) Reorder the terms: 0.4(-30 + 25z) = 0.75(12z + 16) (-30 * 0.4 + 25z * 0.4) = 0.75(12z + 16) (-12 + 10z) = 0.75(12z + 16) Reorder the terms: -12 + 10z = 0.75(16 + 12z) -12 + 10z = (16 * 0.75 + 12z * 0.75) -12 + 10z = (12 + 9z) Solving -12 + 10z = 12 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -12 + 10z + -9z = 12 + 9z + -9z Combine like terms: 10z + -9z = 1z -12 + 1z = 12 + 9z + -9z Combine like terms: 9z + -9z = 0 -12 + 1z = 12 + 0 -12 + 1z = 12 Add '12' to each side of the equation. -12 + 12 + 1z = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 1z = 12 + 12 1z = 12 + 12 Combine like terms: 12 + 12 = 24 1z = 24 Divide each side by '1'. z = 24 Simplifying z = 24
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