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Simplifying 3Z + -2 + -9Z = 2Z + 6 Reorder the terms: -2 + 3Z + -9Z = 2Z + 6 Combine like terms: 3Z + -9Z = -6Z -2 + -6Z = 2Z + 6 Reorder the terms: -2 + -6Z = 6 + 2Z Solving -2 + -6Z = 6 + 2Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-2Z' to each side of the equation. -2 + -6Z + -2Z = 6 + 2Z + -2Z Combine like terms: -6Z + -2Z = -8Z -2 + -8Z = 6 + 2Z + -2Z Combine like terms: 2Z + -2Z = 0 -2 + -8Z = 6 + 0 -2 + -8Z = 6 Add '2' to each side of the equation. -2 + 2 + -8Z = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -8Z = 6 + 2 -8Z = 6 + 2 Combine like terms: 6 + 2 = 8 -8Z = 8 Divide each side by '-8'. Z = -1 Simplifying Z = -1
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