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Simplifying 2 + -1(5z + -2) + -9(3z + -2) = 0 Reorder the terms: 2 + -1(-2 + 5z) + -9(3z + -2) = 0 2 + (-2 * -1 + 5z * -1) + -9(3z + -2) = 0 2 + (2 + -5z) + -9(3z + -2) = 0 Reorder the terms: 2 + 2 + -5z + -9(-2 + 3z) = 0 2 + 2 + -5z + (-2 * -9 + 3z * -9) = 0 2 + 2 + -5z + (18 + -27z) = 0 Reorder the terms: 2 + 2 + 18 + -5z + -27z = 0 Combine like terms: 2 + 2 = 4 4 + 18 + -5z + -27z = 0 Combine like terms: 4 + 18 = 22 22 + -5z + -27z = 0 Combine like terms: -5z + -27z = -32z 22 + -32z = 0 Solving 22 + -32z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -32z = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -32z = 0 + -22 -32z = 0 + -22 Combine like terms: 0 + -22 = -22 -32z = -22 Divide each side by '-32'. z = 0.6875 Simplifying z = 0.6875
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