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Simplifying -1[6z + -1(8z + 1)] = 1t(1z + 2) Reorder the terms: -1[6z + -1(1 + 8z)] = 1t(1z + 2) -1[6z + (1 * -1 + 8z * -1)] = 1t(1z + 2) -1[6z + (-1 + -8z)] = 1t(1z + 2) Reorder the terms: -1[-1 + 6z + -8z] = 1t(1z + 2) Combine like terms: 6z + -8z = -2z -1[-1 + -2z] = 1t(1z + 2) [-1 * -1 + -2z * -1] = 1t(1z + 2) [1 + 2z] = 1t(1z + 2) Reorder the terms: 1 + 2z = 1t(2 + 1z) 1 + 2z = (2 * 1t + 1z * 1t) 1 + 2z = (2t + 1tz) Solving 1 + 2z = 2t + 1tz Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1tz' to each side of the equation. 1 + -1tz + 2z = 2t + 1tz + -1tz Combine like terms: 1tz + -1tz = 0 1 + -1tz + 2z = 2t + 0 1 + -1tz + 2z = 2t Add '-1' to each side of the equation. 1 + -1tz + -1 + 2z = -1 + 2t Reorder the terms: 1 + -1 + -1tz + 2z = -1 + 2t Combine like terms: 1 + -1 = 0 0 + -1tz + 2z = -1 + 2t -1tz + 2z = -1 + 2t Reorder the terms: 1 + -2t + -1tz + 2z = -1 + 2t + 1 + -2t Reorder the terms: 1 + -2t + -1tz + 2z = -1 + 1 + 2t + -2t Combine like terms: -1 + 1 = 0 1 + -2t + -1tz + 2z = 0 + 2t + -2t 1 + -2t + -1tz + 2z = 2t + -2t Combine like terms: 2t + -2t = 0 1 + -2t + -1tz + 2z = 0 The solution to this equation could not be determined.
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