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Simplifying 8 + -0.5z = 0.25z + -7 Reorder the terms: 8 + -0.5z = -7 + 0.25z Solving 8 + -0.5z = -7 + 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. 8 + -0.5z + -0.25z = -7 + 0.25z + -0.25z Combine like terms: -0.5z + -0.25z = -0.75z 8 + -0.75z = -7 + 0.25z + -0.25z Combine like terms: 0.25z + -0.25z = 0.00 8 + -0.75z = -7 + 0.00 8 + -0.75z = -7 Add '-8' to each side of the equation. 8 + -8 + -0.75z = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -0.75z = -7 + -8 -0.75z = -7 + -8 Combine like terms: -7 + -8 = -15 -0.75z = -15 Divide each side by '-0.75'. z = 20 Simplifying z = 20
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