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Simplifying -1[7z + -1(12z + 8)] = 8 + (4z + 0) Reorder the terms: -1[7z + -1(8 + 12z)] = 8 + (4z + 0) -1[7z + (8 * -1 + 12z * -1)] = 8 + (4z + 0) -1[7z + (-8 + -12z)] = 8 + (4z + 0) Reorder the terms: -1[-8 + 7z + -12z] = 8 + (4z + 0) Combine like terms: 7z + -12z = -5z -1[-8 + -5z] = 8 + (4z + 0) [-8 * -1 + -5z * -1] = 8 + (4z + 0) [8 + 5z] = 8 + (4z + 0) Reorder the terms: 8 + 5z = 8 + (0 + 4z) Remove the zero: 8 + 5z = 8 + (4z) 8 + 5z = 8 + (4z) Add '-8' to each side of the equation. 8 + -8 + 5z = 8 + -8 + (4z) Combine like terms: 8 + -8 = 0 0 + 5z = 8 + -8 + (4z) 5z = 8 + -8 + (4z) Combine like terms: 8 + -8 = 0 5z = 0 + (4z) 5z = (4z) Solving 5z = (4z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-4z)' to each side of the equation. 5z + (-4z) = (4z) + (-4z) Combine like terms: 5z + (-4z) = 1z 1z = (4z) + (-4z) Combine like terms: (4z) + (-4z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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