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Simplifying 7z + 0.25 = 8z + 1.25 Reorder the terms: 0.25 + 7z = 8z + 1.25 Reorder the terms: 0.25 + 7z = 1.25 + 8z Solving 0.25 + 7z = 1.25 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 0.25 + 7z + -8z = 1.25 + 8z + -8z Combine like terms: 7z + -8z = -1z 0.25 + -1z = 1.25 + 8z + -8z Combine like terms: 8z + -8z = 0 0.25 + -1z = 1.25 + 0 0.25 + -1z = 1.25 Add '-0.25' to each side of the equation. 0.25 + -0.25 + -1z = 1.25 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -1z = 1.25 + -0.25 -1z = 1.25 + -0.25 Combine like terms: 1.25 + -0.25 = 1 -1z = 1 Divide each side by '-1'. z = -1 Simplifying z = -1
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