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Simplifying 4.5 + z = 4.5z + -4.25z + 6.25 Reorder the terms: 4.5 + z = 6.25 + 4.5z + -4.25z Combine like terms: 4.5z + -4.25z = 0.25z 4.5 + z = 6.25 + 0.25z Solving 4.5 + z = 6.25 + 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. 4.5 + z + -0.25z = 6.25 + 0.25z + -0.25z Combine like terms: z + -0.25z = 0.75z 4.5 + 0.75z = 6.25 + 0.25z + -0.25z Combine like terms: 0.25z + -0.25z = 0.00 4.5 + 0.75z = 6.25 + 0.00 4.5 + 0.75z = 6.25 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.75z = 6.25 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.75z = 6.25 + -4.5 0.75z = 6.25 + -4.5 Combine like terms: 6.25 + -4.5 = 1.75 0.75z = 1.75 Divide each side by '0.75'. z = 2.333333333 Simplifying z = 2.333333333
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