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Simplifying -1[2z + -1(9z + -2)] = 2 + (6z + 8) Reorder the terms: -1[2z + -1(-2 + 9z)] = 2 + (6z + 8) -1[2z + (-2 * -1 + 9z * -1)] = 2 + (6z + 8) -1[2z + (2 + -9z)] = 2 + (6z + 8) Reorder the terms: -1[2 + 2z + -9z] = 2 + (6z + 8) Combine like terms: 2z + -9z = -7z -1[2 + -7z] = 2 + (6z + 8) [2 * -1 + -7z * -1] = 2 + (6z + 8) [-2 + 7z] = 2 + (6z + 8) Reorder the terms: -2 + 7z = 2 + (8 + 6z) Remove parenthesis around (8 + 6z) -2 + 7z = 2 + 8 + 6z Combine like terms: 2 + 8 = 10 -2 + 7z = 10 + 6z Solving -2 + 7z = 10 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -2 + 7z + -6z = 10 + 6z + -6z Combine like terms: 7z + -6z = 1z -2 + 1z = 10 + 6z + -6z Combine like terms: 6z + -6z = 0 -2 + 1z = 10 + 0 -2 + 1z = 10 Add '2' to each side of the equation. -2 + 2 + 1z = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 1z = 10 + 2 1z = 10 + 2 Combine like terms: 10 + 2 = 12 1z = 12 Divide each side by '1'. z = 12 Simplifying z = 12
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