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Simplifying 2.5 + -0.33 = 0.42 + 0.25z Combine like terms: 2.5 + -0.33 = 2.17 2.17 = 0.42 + 0.25z Solving 2.17 = 0.42 + 0.25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.25z' to each side of the equation. 2.17 + -0.25z = 0.42 + 0.25z + -0.25z Combine like terms: 0.25z + -0.25z = 0.00 2.17 + -0.25z = 0.42 + 0.00 2.17 + -0.25z = 0.42 Add '-2.17' to each side of the equation. 2.17 + -2.17 + -0.25z = 0.42 + -2.17 Combine like terms: 2.17 + -2.17 = 0.00 0.00 + -0.25z = 0.42 + -2.17 -0.25z = 0.42 + -2.17 Combine like terms: 0.42 + -2.17 = -1.75 -0.25z = -1.75 Divide each side by '-0.25'. z = 7 Simplifying z = 7
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