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Simplifying 2(z + 3) + 4(z + 2) = 0 Reorder the terms: 2(3 + z) + 4(z + 2) = 0 (3 * 2 + z * 2) + 4(z + 2) = 0 (6 + 2z) + 4(z + 2) = 0 Reorder the terms: 6 + 2z + 4(2 + z) = 0 6 + 2z + (2 * 4 + z * 4) = 0 6 + 2z + (8 + 4z) = 0 Reorder the terms: 6 + 8 + 2z + 4z = 0 Combine like terms: 6 + 8 = 14 14 + 2z + 4z = 0 Combine like terms: 2z + 4z = 6z 14 + 6z = 0 Solving 14 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 6z = 0 + -14 6z = 0 + -14 Combine like terms: 0 + -14 = -14 6z = -14 Divide each side by '6'. z = -2.333333333 Simplifying z = -2.333333333
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