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Simplifying -0.5z + 1.25 = 3.5z + 0.75 Reorder the terms: 1.25 + -0.5z = 3.5z + 0.75 Reorder the terms: 1.25 + -0.5z = 0.75 + 3.5z Solving 1.25 + -0.5z = 0.75 + 3.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.5z' to each side of the equation. 1.25 + -0.5z + -3.5z = 0.75 + 3.5z + -3.5z Combine like terms: -0.5z + -3.5z = -4z 1.25 + -4z = 0.75 + 3.5z + -3.5z Combine like terms: 3.5z + -3.5z = 0.0 1.25 + -4z = 0.75 + 0.0 1.25 + -4z = 0.75 Add '-1.25' to each side of the equation. 1.25 + -1.25 + -4z = 0.75 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -4z = 0.75 + -1.25 -4z = 0.75 + -1.25 Combine like terms: 0.75 + -1.25 = -0.5 -4z = -0.5 Divide each side by '-4'. z = 0.125 Simplifying z = 0.125
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