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Simplifying 6z + 1.25 = 7z + 0.75 Reorder the terms: 1.25 + 6z = 7z + 0.75 Reorder the terms: 1.25 + 6z = 0.75 + 7z Solving 1.25 + 6z = 0.75 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 1.25 + 6z + -7z = 0.75 + 7z + -7z Combine like terms: 6z + -7z = -1z 1.25 + -1z = 0.75 + 7z + -7z Combine like terms: 7z + -7z = 0 1.25 + -1z = 0.75 + 0 1.25 + -1z = 0.75 Add '-1.25' to each side of the equation. 1.25 + -1.25 + -1z = 0.75 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -1z = 0.75 + -1.25 -1z = 0.75 + -1.25 Combine like terms: 0.75 + -1.25 = -0.5 -1z = -0.5 Divide each side by '-1'. z = 0.5 Simplifying z = 0.5
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