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Simplifying (9z + 10) + -1(2z + -8) = 0 Reorder the terms: (10 + 9z) + -1(2z + -8) = 0 Remove parenthesis around (10 + 9z) 10 + 9z + -1(2z + -8) = 0 Reorder the terms: 10 + 9z + -1(-8 + 2z) = 0 10 + 9z + (-8 * -1 + 2z * -1) = 0 10 + 9z + (8 + -2z) = 0 Reorder the terms: 10 + 8 + 9z + -2z = 0 Combine like terms: 10 + 8 = 18 18 + 9z + -2z = 0 Combine like terms: 9z + -2z = 7z 18 + 7z = 0 Solving 18 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7z = 0 + -18 7z = 0 + -18 Combine like terms: 0 + -18 = -18 7z = -18 Divide each side by '7'. z = -2.571428571 Simplifying z = -2.571428571
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