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Simplifying -1[4z + -1(10z + 5)] = 5 + (5z + 0) Reorder the terms: -1[4z + -1(5 + 10z)] = 5 + (5z + 0) -1[4z + (5 * -1 + 10z * -1)] = 5 + (5z + 0) -1[4z + (-5 + -10z)] = 5 + (5z + 0) Reorder the terms: -1[-5 + 4z + -10z] = 5 + (5z + 0) Combine like terms: 4z + -10z = -6z -1[-5 + -6z] = 5 + (5z + 0) [-5 * -1 + -6z * -1] = 5 + (5z + 0) [5 + 6z] = 5 + (5z + 0) Reorder the terms: 5 + 6z = 5 + (0 + 5z) Remove the zero: 5 + 6z = 5 + (5z) 5 + 6z = 5 + (5z) Add '-5' to each side of the equation. 5 + -5 + 6z = 5 + -5 + (5z) Combine like terms: 5 + -5 = 0 0 + 6z = 5 + -5 + (5z) 6z = 5 + -5 + (5z) Combine like terms: 5 + -5 = 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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