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Simplifying 3(Z + -2) + 6 = 5Z + 4 Reorder the terms: 3(-2 + Z) + 6 = 5Z + 4 (-2 * 3 + Z * 3) + 6 = 5Z + 4 (-6 + 3Z) + 6 = 5Z + 4 Reorder the terms: -6 + 6 + 3Z = 5Z + 4 Combine like terms: -6 + 6 = 0 0 + 3Z = 5Z + 4 3Z = 5Z + 4 Reorder the terms: 3Z = 4 + 5Z Solving 3Z = 4 + 5Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-5Z' to each side of the equation. 3Z + -5Z = 4 + 5Z + -5Z Combine like terms: 3Z + -5Z = -2Z -2Z = 4 + 5Z + -5Z Combine like terms: 5Z + -5Z = 0 -2Z = 4 + 0 -2Z = 4 Divide each side by '-2'. Z = -2 Simplifying Z = -2
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