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Simplifying -1[5z + -1(8z + 4)] = 4 + (2z + 0) Reorder the terms: -1[5z + -1(4 + 8z)] = 4 + (2z + 0) -1[5z + (4 * -1 + 8z * -1)] = 4 + (2z + 0) -1[5z + (-4 + -8z)] = 4 + (2z + 0) Reorder the terms: -1[-4 + 5z + -8z] = 4 + (2z + 0) Combine like terms: 5z + -8z = -3z -1[-4 + -3z] = 4 + (2z + 0) [-4 * -1 + -3z * -1] = 4 + (2z + 0) [4 + 3z] = 4 + (2z + 0) Reorder the terms: 4 + 3z = 4 + (0 + 2z) Remove the zero: 4 + 3z = 4 + (2z) 4 + 3z = 4 + (2z) Add '-4' to each side of the equation. 4 + -4 + 3z = 4 + -4 + (2z) Combine like terms: 4 + -4 = 0 0 + 3z = 4 + -4 + (2z) 3z = 4 + -4 + (2z) Combine like terms: 4 + -4 = 0 3z = 0 + (2z) 3z = (2z) Solving 3z = (2z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-2z)' to each side of the equation. 3z + (-2z) = (2z) + (-2z) Combine like terms: 3z + (-2z) = 1z 1z = (2z) + (-2z) Combine like terms: (2z) + (-2z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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