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Simplifying -3(1 + -9z) + -1(-11z + -11) = 0 (1 * -3 + -9z * -3) + -1(-11z + -11) = 0 (-3 + 27z) + -1(-11z + -11) = 0 Reorder the terms: -3 + 27z + -1(-11 + -11z) = 0 -3 + 27z + (-11 * -1 + -11z * -1) = 0 -3 + 27z + (11 + 11z) = 0 Reorder the terms: -3 + 11 + 27z + 11z = 0 Combine like terms: -3 + 11 = 8 8 + 27z + 11z = 0 Combine like terms: 27z + 11z = 38z 8 + 38z = 0 Solving 8 + 38z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 38z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 38z = 0 + -8 38z = 0 + -8 Combine like terms: 0 + -8 = -8 38z = -8 Divide each side by '38'. z = -0.2105263158 Simplifying z = -0.2105263158
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