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Simplifying -1[4z + -1(13z + 10)] = 10 + (8z + 0) Reorder the terms: -1[4z + -1(10 + 13z)] = 10 + (8z + 0) -1[4z + (10 * -1 + 13z * -1)] = 10 + (8z + 0) -1[4z + (-10 + -13z)] = 10 + (8z + 0) Reorder the terms: -1[-10 + 4z + -13z] = 10 + (8z + 0) Combine like terms: 4z + -13z = -9z -1[-10 + -9z] = 10 + (8z + 0) [-10 * -1 + -9z * -1] = 10 + (8z + 0) [10 + 9z] = 10 + (8z + 0) Reorder the terms: 10 + 9z = 10 + (0 + 8z) Remove the zero: 10 + 9z = 10 + (8z) 10 + 9z = 10 + (8z) Add '-10' to each side of the equation. 10 + -10 + 9z = 10 + -10 + (8z) Combine like terms: 10 + -10 = 0 0 + 9z = 10 + -10 + (8z) 9z = 10 + -10 + (8z) Combine like terms: 10 + -10 = 0 9z = 0 + (8z) 9z = (8z) Solving 9z = (8z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-8z)' to each side of the equation. 9z + (-8z) = (8z) + (-8z) Combine like terms: 9z + (-8z) = 1z 1z = (8z) + (-8z) Combine like terms: (8z) + (-8z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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