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Simplifying 2(Z + 3) + 3(2 + Z) = 0 Reorder the terms: 2(3 + Z) + 3(2 + Z) = 0 (3 * 2 + Z * 2) + 3(2 + Z) = 0 (6 + 2Z) + 3(2 + Z) = 0 6 + 2Z + (2 * 3 + Z * 3) = 0 6 + 2Z + (6 + 3Z) = 0 Reorder the terms: 6 + 6 + 2Z + 3Z = 0 Combine like terms: 6 + 6 = 12 12 + 2Z + 3Z = 0 Combine like terms: 2Z + 3Z = 5Z 12 + 5Z = 0 Solving 12 + 5Z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5Z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5Z = 0 + -12 5Z = 0 + -12 Combine like terms: 0 + -12 = -12 5Z = -12 Divide each side by '5'. Z = -2.4 Simplifying Z = -2.4
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