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Simplifying -1[7z + -1(15z + 2)] = 2 + (7z + 0) Reorder the terms: -1[7z + -1(2 + 15z)] = 2 + (7z + 0) -1[7z + (2 * -1 + 15z * -1)] = 2 + (7z + 0) -1[7z + (-2 + -15z)] = 2 + (7z + 0) Reorder the terms: -1[-2 + 7z + -15z] = 2 + (7z + 0) Combine like terms: 7z + -15z = -8z -1[-2 + -8z] = 2 + (7z + 0) [-2 * -1 + -8z * -1] = 2 + (7z + 0) [2 + 8z] = 2 + (7z + 0) Reorder the terms: 2 + 8z = 2 + (0 + 7z) Remove the zero: 2 + 8z = 2 + (7z) 2 + 8z = 2 + (7z) Add '-2' to each side of the equation. 2 + -2 + 8z = 2 + -2 + (7z) Combine like terms: 2 + -2 = 0 0 + 8z = 2 + -2 + (7z) 8z = 2 + -2 + (7z) Combine like terms: 2 + -2 = 0 8z = 0 + (7z) 8z = (7z) Solving 8z = (7z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-7z)' to each side of the equation. 8z + (-7z) = (7z) + (-7z) Combine like terms: 8z + (-7z) = 1z 1z = (7z) + (-7z) Combine like terms: (7z) + (-7z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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