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Simplifying 3 + -4Z + -4 = 3Z + -2 + Z Reorder the terms: 3 + -4 + -4Z = 3Z + -2 + Z Combine like terms: 3 + -4 = -1 -1 + -4Z = 3Z + -2 + Z Reorder the terms: -1 + -4Z = -2 + 3Z + Z Combine like terms: 3Z + Z = 4Z -1 + -4Z = -2 + 4Z Solving -1 + -4Z = -2 + 4Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-4Z' to each side of the equation. -1 + -4Z + -4Z = -2 + 4Z + -4Z Combine like terms: -4Z + -4Z = -8Z -1 + -8Z = -2 + 4Z + -4Z Combine like terms: 4Z + -4Z = 0 -1 + -8Z = -2 + 0 -1 + -8Z = -2 Add '1' to each side of the equation. -1 + 1 + -8Z = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -8Z = -2 + 1 -8Z = -2 + 1 Combine like terms: -2 + 1 = -1 -8Z = -1 Divide each side by '-8'. Z = 0.125 Simplifying Z = 0.125
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