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Simplifying 0.75 + -4z + 1.25z + -0.5 + 0.5z = 0 Reorder the terms: 0.75 + -0.5 + -4z + 1.25z + 0.5z = 0 Combine like terms: 0.75 + -0.5 = 0.25 0.25 + -4z + 1.25z + 0.5z = 0 Combine like terms: -4z + 1.25z = -2.75z 0.25 + -2.75z + 0.5z = 0 Combine like terms: -2.75z + 0.5z = -2.25z 0.25 + -2.25z = 0 Solving 0.25 + -2.25z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + -2.25z = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -2.25z = 0 + -0.25 -2.25z = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -2.25z = -0.25 Divide each side by '-2.25'. z = 0.1111111111 Simplifying z = 0.1111111111
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