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Simplifying -9(z + -5) + -5(z + 4) = 0 Reorder the terms: -9(-5 + z) + -5(z + 4) = 0 (-5 * -9 + z * -9) + -5(z + 4) = 0 (45 + -9z) + -5(z + 4) = 0 Reorder the terms: 45 + -9z + -5(4 + z) = 0 45 + -9z + (4 * -5 + z * -5) = 0 45 + -9z + (-20 + -5z) = 0 Reorder the terms: 45 + -20 + -9z + -5z = 0 Combine like terms: 45 + -20 = 25 25 + -9z + -5z = 0 Combine like terms: -9z + -5z = -14z 25 + -14z = 0 Solving 25 + -14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -14z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -14z = 0 + -25 -14z = 0 + -25 Combine like terms: 0 + -25 = -25 -14z = -25 Divide each side by '-14'. z = 1.785714286 Simplifying z = 1.785714286
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