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Simplifying 5(9 + 2z) + 10z + 6 = 0 (9 * 5 + 2z * 5) + 10z + 6 = 0 (45 + 10z) + 10z + 6 = 0 Reorder the terms: 45 + 6 + 10z + 10z = 0 Combine like terms: 45 + 6 = 51 51 + 10z + 10z = 0 Combine like terms: 10z + 10z = 20z 51 + 20z = 0 Solving 51 + 20z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 20z = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 20z = 0 + -51 20z = 0 + -51 Combine like terms: 0 + -51 = -51 20z = -51 Divide each side by '20'. z = -2.55 Simplifying z = -2.55
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