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Simplifying 3z + 2(z + 6) = 0 Reorder the terms: 3z + 2(6 + z) = 0 3z + (6 * 2 + z * 2) = 0 3z + (12 + 2z) = 0 Reorder the terms: 12 + 3z + 2z = 0 Combine like terms: 3z + 2z = 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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