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Simplifying 2.5 = 0.75z + 0.5 Reorder the terms: 2.5 = 0.5 + 0.75z Solving 2.5 = 0.5 + 0.75z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.75z' to each side of the equation. 2.5 + -0.75z = 0.5 + 0.75z + -0.75z Combine like terms: 0.75z + -0.75z = 0.00 2.5 + -0.75z = 0.5 + 0.00 2.5 + -0.75z = 0.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.75z = 0.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.75z = 0.5 + -2.5 -0.75z = 0.5 + -2.5 Combine like terms: 0.5 + -2.5 = -2 -0.75z = -2 Divide each side by '-0.75'. z = 2.666666667 Simplifying z = 2.666666667
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