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Simplifying -1[8 + -1(12z + 2)] = 2 + (3z + 0) Reorder the terms: -1[8 + -1(2 + 12z)] = 2 + (3z + 0) -1[8 + (2 * -1 + 12z * -1)] = 2 + (3z + 0) -1[8 + (-2 + -12z)] = 2 + (3z + 0) Combine like terms: 8 + -2 = 6 -1[6 + -12z] = 2 + (3z + 0) [6 * -1 + -12z * -1] = 2 + (3z + 0) [-6 + 12z] = 2 + (3z + 0) Reorder the terms: -6 + 12z = 2 + (0 + 3z) Remove the zero: -6 + 12z = 2 + (3z) -6 + 12z = 2 + (3z) Solving -6 + 12z = 2 + (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. -6 + 12z + (-3z) = 2 + (3z) + (-3z) Combine like terms: 12z + (-3z) = 9z -6 + 9z = 2 + (3z) + (-3z) Combine like terms: (3z) + (-3z) = 0 -6 + 9z = 2 + 0 -6 + 9z = 2 Add '6' to each side of the equation. -6 + 6 + 9z = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 9z = 2 + 6 9z = 2 + 6 Combine like terms: 2 + 6 = 8 9z = 8 Divide each side by '9'. z = 0.8888888889 Simplifying z = 0.8888888889
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