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Simplifying -1[5z + -1(11z + 2)] = 2 + (5z + 0) Reorder the terms: -1[5z + -1(2 + 11z)] = 2 + (5z + 0) -1[5z + (2 * -1 + 11z * -1)] = 2 + (5z + 0) -1[5z + (-2 + -11z)] = 2 + (5z + 0) Reorder the terms: -1[-2 + 5z + -11z] = 2 + (5z + 0) Combine like terms: 5z + -11z = -6z -1[-2 + -6z] = 2 + (5z + 0) [-2 * -1 + -6z * -1] = 2 + (5z + 0) [2 + 6z] = 2 + (5z + 0) Reorder the terms: 2 + 6z = 2 + (0 + 5z) Remove the zero: 2 + 6z = 2 + (5z) 2 + 6z = 2 + (5z) Add '-2' to each side of the equation. 2 + -2 + 6z = 2 + -2 + (5z) Combine like terms: 2 + -2 = 0 0 + 6z = 2 + -2 + (5z) 6z = 2 + -2 + (5z) Combine like terms: 2 + -2 = 0 6z = 0 + (5z) 6z = (5z) Solving 6z = (5z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-5z)' to each side of the equation. 6z + (-5z) = (5z) + (-5z) Combine like terms: 6z + (-5z) = 1z 1z = (5z) + (-5z) Combine like terms: (5z) + (-5z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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