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Simplifying -1[3z + -1(7z + 8)] = 8 + (3z + 0) Reorder the terms: -1[3z + -1(8 + 7z)] = 8 + (3z + 0) -1[3z + (8 * -1 + 7z * -1)] = 8 + (3z + 0) -1[3z + (-8 + -7z)] = 8 + (3z + 0) Reorder the terms: -1[-8 + 3z + -7z] = 8 + (3z + 0) Combine like terms: 3z + -7z = -4z -1[-8 + -4z] = 8 + (3z + 0) [-8 * -1 + -4z * -1] = 8 + (3z + 0) [8 + 4z] = 8 + (3z + 0) Reorder the terms: 8 + 4z = 8 + (0 + 3z) Remove the zero: 8 + 4z = 8 + (3z) 8 + 4z = 8 + (3z) Add '-8' to each side of the equation. 8 + -8 + 4z = 8 + -8 + (3z) Combine like terms: 8 + -8 = 0 0 + 4z = 8 + -8 + (3z) 4z = 8 + -8 + (3z) Combine like terms: 8 + -8 = 0 4z = 0 + (3z) 4z = (3z) Solving 4z = (3z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-3z)' to each side of the equation. 4z + (-3z) = (3z) + (-3z) Combine like terms: 4z + (-3z) = 1z 1z = (3z) + (-3z) Combine like terms: (3z) + (-3z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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