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Simplifying 0.75z + 5 = 0.25z + -1 Reorder the terms: 5 + 0.75z = 0.25z + -1 Reorder the terms: 5 + 0.75z = -1 + 0.25z Solving 5 + 0.75z = -1 + 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. 5 + 0.75z + -0.25z = -1 + 0.25z + -0.25z Combine like terms: 0.75z + -0.25z = 0.5z 5 + 0.5z = -1 + 0.25z + -0.25z Combine like terms: 0.25z + -0.25z = 0.00 5 + 0.5z = -1 + 0.00 5 + 0.5z = -1 Add '-5' to each side of the equation. 5 + -5 + 0.5z = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5z = -1 + -5 0.5z = -1 + -5 Combine like terms: -1 + -5 = -6 0.5z = -6 Divide each side by '0.5'. z = -12 Simplifying z = -12
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