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Simplifying 9(3z + 4) + 10z = 0 Reorder the terms: 9(4 + 3z) + 10z = 0 (4 * 9 + 3z * 9) + 10z = 0 (36 + 27z) + 10z = 0 Combine like terms: 27z + 10z = 37z 36 + 37z = 0 Solving 36 + 37z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 37z = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 37z = 0 + -36 37z = 0 + -36 Combine like terms: 0 + -36 = -36 37z = -36 Divide each side by '37'. z = -0.972972973 Simplifying z = -0.972972973
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