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Simplifying -4Z + 7z + 3 + -2z = 0 Reorder the terms: 3 + -4Z + 7z + -2z = 0 Combine like terms: 7z + -2z = 5z 3 + -4Z + 5z = 0 Solving 3 + -4Z + 5z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -4Z + -3 + 5z = 0 + -3 Reorder the terms: 3 + -3 + -4Z + 5z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4Z + 5z = 0 + -3 -4Z + 5z = 0 + -3 Combine like terms: 0 + -3 = -3 -4Z + 5z = -3 Add '-5z' to each side of the equation. -4Z + 5z + -5z = -3 + -5z Combine like terms: 5z + -5z = 0 -4Z + 0 = -3 + -5z -4Z = -3 + -5z Divide each side by '-4'. Z = 0.75 + 1.25z Simplifying Z = 0.75 + 1.25z
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