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Simplifying (11z + 10) + -1(2z + -9) = 0 Reorder the terms: (10 + 11z) + -1(2z + -9) = 0 Remove parenthesis around (10 + 11z) 10 + 11z + -1(2z + -9) = 0 Reorder the terms: 10 + 11z + -1(-9 + 2z) = 0 10 + 11z + (-9 * -1 + 2z * -1) = 0 10 + 11z + (9 + -2z) = 0 Reorder the terms: 10 + 9 + 11z + -2z = 0 Combine like terms: 10 + 9 = 19 19 + 11z + -2z = 0 Combine like terms: 11z + -2z = 9z 19 + 9z = 0 Solving 19 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 9z = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 9z = 0 + -19 9z = 0 + -19 Combine like terms: 0 + -19 = -19 9z = -19 Divide each side by '9'. z = -2.111111111 Simplifying z = -2.111111111
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