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Simplifying 0.5Z + 4 = 2.5Z + -8 Reorder the terms: 4 + 0.5Z = 2.5Z + -8 Reorder the terms: 4 + 0.5Z = -8 + 2.5Z Solving 4 + 0.5Z = -8 + 2.5Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-2.5Z' to each side of the equation. 4 + 0.5Z + -2.5Z = -8 + 2.5Z + -2.5Z Combine like terms: 0.5Z + -2.5Z = -2Z 4 + -2Z = -8 + 2.5Z + -2.5Z Combine like terms: 2.5Z + -2.5Z = 0.0 4 + -2Z = -8 + 0.0 4 + -2Z = -8 Add '-4' to each side of the equation. 4 + -4 + -2Z = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -2Z = -8 + -4 -2Z = -8 + -4 Combine like terms: -8 + -4 = -12 -2Z = -12 Divide each side by '-2'. Z = 6 Simplifying Z = 6
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