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Simplifying -1[6z + -1(11z + 9)] = 9 + (4z + 0) Reorder the terms: -1[6z + -1(9 + 11z)] = 9 + (4z + 0) -1[6z + (9 * -1 + 11z * -1)] = 9 + (4z + 0) -1[6z + (-9 + -11z)] = 9 + (4z + 0) Reorder the terms: -1[-9 + 6z + -11z] = 9 + (4z + 0) Combine like terms: 6z + -11z = -5z -1[-9 + -5z] = 9 + (4z + 0) [-9 * -1 + -5z * -1] = 9 + (4z + 0) [9 + 5z] = 9 + (4z + 0) Reorder the terms: 9 + 5z = 9 + (0 + 4z) Remove the zero: 9 + 5z = 9 + (4z) 9 + 5z = 9 + (4z) Add '-9' to each side of the equation. 9 + -9 + 5z = 9 + -9 + (4z) Combine like terms: 9 + -9 = 0 0 + 5z = 9 + -9 + (4z) 5z = 9 + -9 + (4z) Combine like terms: 9 + -9 = 0 5z = 0 + (4z) 5z = (4z) Solving 5z = (4z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-4z)' to each side of the equation. 5z + (-4z) = (4z) + (-4z) Combine like terms: 5z + (-4z) = 1z 1z = (4z) + (-4z) Combine like terms: (4z) + (-4z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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