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Simplifying 0.25 + -4z = z + 8 + -2z Reorder the terms: 0.25 + -4z = 8 + z + -2z Combine like terms: z + -2z = -1z 0.25 + -4z = 8 + -1z Solving 0.25 + -4z = 8 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 0.25 + -4z + z = 8 + -1z + z Combine like terms: -4z + z = -3z 0.25 + -3z = 8 + -1z + z Combine like terms: -1z + z = 0 0.25 + -3z = 8 + 0 0.25 + -3z = 8 Add '-0.25' to each side of the equation. 0.25 + -0.25 + -3z = 8 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -3z = 8 + -0.25 -3z = 8 + -0.25 Combine like terms: 8 + -0.25 = 7.75 -3z = 7.75 Divide each side by '-3'. z = -2.583333333 Simplifying z = -2.583333333
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