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Simplifying -1[10z + -1(20z + 5)] = 5 + (9z + 0) Reorder the terms: -1[10z + -1(5 + 20z)] = 5 + (9z + 0) -1[10z + (5 * -1 + 20z * -1)] = 5 + (9z + 0) -1[10z + (-5 + -20z)] = 5 + (9z + 0) Reorder the terms: -1[-5 + 10z + -20z] = 5 + (9z + 0) Combine like terms: 10z + -20z = -10z -1[-5 + -10z] = 5 + (9z + 0) [-5 * -1 + -10z * -1] = 5 + (9z + 0) [5 + 10z] = 5 + (9z + 0) Reorder the terms: 5 + 10z = 5 + (0 + 9z) Remove the zero: 5 + 10z = 5 + (9z) 5 + 10z = 5 + (9z) Add '-5' to each side of the equation. 5 + -5 + 10z = 5 + -5 + (9z) Combine like terms: 5 + -5 = 0 0 + 10z = 5 + -5 + (9z) 10z = 5 + -5 + (9z) Combine like terms: 5 + -5 = 0 10z = 0 + (9z) 10z = (9z) Solving 10z = (9z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-9z)' to each side of the equation. 10z + (-9z) = (9z) + (-9z) Combine like terms: 10z + (-9z) = 1z 1z = (9z) + (-9z) Combine like terms: (9z) + (-9z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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