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Simplifying (9z + 11) + -1(2 + 7z) = 0 Reorder the terms: (11 + 9z) + -1(2 + 7z) = 0 Remove parenthesis around (11 + 9z) 11 + 9z + -1(2 + 7z) = 0 11 + 9z + (2 * -1 + 7z * -1) = 0 11 + 9z + (-2 + -7z) = 0 Reorder the terms: 11 + -2 + 9z + -7z = 0 Combine like terms: 11 + -2 = 9 9 + 9z + -7z = 0 Combine like terms: 9z + -7z = 2z 9 + 2z = 0 Solving 9 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2z = 0 + -9 2z = 0 + -9 Combine like terms: 0 + -9 = -9 2z = -9 Divide each side by '2'. z = -4.5 Simplifying z = -4.5
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