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Simplifying 2 + -0.75z = 0.125z + 9 Reorder the terms: 2 + -0.75z = 9 + 0.125z Solving 2 + -0.75z = 9 + 0.125z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.125z' to each side of the equation. 2 + -0.75z + -0.125z = 9 + 0.125z + -0.125z Combine like terms: -0.75z + -0.125z = -0.875z 2 + -0.875z = 9 + 0.125z + -0.125z Combine like terms: 0.125z + -0.125z = 0.000 2 + -0.875z = 9 + 0.000 2 + -0.875z = 9 Add '-2' to each side of the equation. 2 + -2 + -0.875z = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -0.875z = 9 + -2 -0.875z = 9 + -2 Combine like terms: 9 + -2 = 7 -0.875z = 7 Divide each side by '-0.875'. z = -8 Simplifying z = -8
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