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Simplifying 2 + -0.75z = 0.5z + 9 Reorder the terms: 2 + -0.75z = 9 + 0.5z Solving 2 + -0.75z = 9 + 0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5z' to each side of the equation. 2 + -0.75z + -0.5z = 9 + 0.5z + -0.5z Combine like terms: -0.75z + -0.5z = -1.25z 2 + -1.25z = 9 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 2 + -1.25z = 9 + 0.0 2 + -1.25z = 9 Add '-2' to each side of the equation. 2 + -2 + -1.25z = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1.25z = 9 + -2 -1.25z = 9 + -2 Combine like terms: 9 + -2 = 7 -1.25z = 7 Divide each side by '-1.25'. z = -5.6 Simplifying z = -5.6
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