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Simplifying 3(3z + 4) + -2(z + -3) = 0 Reorder the terms: 3(4 + 3z) + -2(z + -3) = 0 (4 * 3 + 3z * 3) + -2(z + -3) = 0 (12 + 9z) + -2(z + -3) = 0 Reorder the terms: 12 + 9z + -2(-3 + z) = 0 12 + 9z + (-3 * -2 + z * -2) = 0 12 + 9z + (6 + -2z) = 0 Reorder the terms: 12 + 6 + 9z + -2z = 0 Combine like terms: 12 + 6 = 18 18 + 9z + -2z = 0 Combine like terms: 9z + -2z = 7z 18 + 7z = 0 Solving 18 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7z = 0 + -18 7z = 0 + -18 Combine like terms: 0 + -18 = -18 7z = -18 Divide each side by '7'. z = -2.571428571 Simplifying z = -2.571428571
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