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Simplifying (40 + -3z + 9z) * 25 = 0 Combine like terms: -3z + 9z = 6z (40 + 6z) * 25 = 0 Reorder the terms for easier multiplication: 25(40 + 6z) = 0 (40 * 25 + 6z * 25) = 0 (1000 + 150z) = 0 Solving 1000 + 150z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + 150z = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 150z = 0 + -1000 150z = 0 + -1000 Combine like terms: 0 + -1000 = -1000 150z = -1000 Divide each side by '150'. z = -6.666666667 Simplifying z = -6.666666667
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