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Simplifying 2z + -1[3 + -1z + -1(1 + -5z)] = 6 2z + -1[3 + -1z + (1 * -1 + -5z * -1)] = 6 2z + -1[3 + -1z + (-1 + 5z)] = 6 Reorder the terms: 2z + -1[3 + -1 + -1z + 5z] = 6 Combine like terms: 3 + -1 = 2 2z + -1[2 + -1z + 5z] = 6 Combine like terms: -1z + 5z = 4z 2z + -1[2 + 4z] = 6 2z + [2 * -1 + 4z * -1] = 6 2z + [-2 + -4z] = 6 Reorder the terms: -2 + 2z + -4z = 6 Combine like terms: 2z + -4z = -2z -2 + -2z = 6 Solving -2 + -2z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -2z = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -2z = 6 + 2 -2z = 6 + 2 Combine like terms: 6 + 2 = 8 -2z = 8 Divide each side by '-2'. z = -4 Simplifying z = -4
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