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Simplifying -5 = 0.25z + -20 + 0.5z Reorder the terms: -5 = -20 + 0.25z + 0.5z Combine like terms: 0.25z + 0.5z = 0.75z -5 = -20 + 0.75z Solving -5 = -20 + 0.75z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.75z' to each side of the equation. -5 + -0.75z = -20 + 0.75z + -0.75z Combine like terms: 0.75z + -0.75z = 0.00 -5 + -0.75z = -20 + 0.00 -5 + -0.75z = -20 Add '5' to each side of the equation. -5 + 5 + -0.75z = -20 + 5 Combine like terms: -5 + 5 = 0 0 + -0.75z = -20 + 5 -0.75z = -20 + 5 Combine like terms: -20 + 5 = -15 -0.75z = -15 Divide each side by '-0.75'. z = 20 Simplifying z = 20
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