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Simplifying 5(5z + 9) + 9z = 0 Reorder the terms: 5(9 + 5z) + 9z = 0 (9 * 5 + 5z * 5) + 9z = 0 (45 + 25z) + 9z = 0 Combine like terms: 25z + 9z = 34z 45 + 34z = 0 Solving 45 + 34z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 34z = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 34z = 0 + -45 34z = 0 + -45 Combine like terms: 0 + -45 = -45 34z = -45 Divide each side by '34'. z = -1.323529412 Simplifying z = -1.323529412
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