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Simplifying -1[10 + -1(17z + 6)] = 6 + (6z + 0) Reorder the terms: -1[10 + -1(6 + 17z)] = 6 + (6z + 0) -1[10 + (6 * -1 + 17z * -1)] = 6 + (6z + 0) -1[10 + (-6 + -17z)] = 6 + (6z + 0) Combine like terms: 10 + -6 = 4 -1[4 + -17z] = 6 + (6z + 0) [4 * -1 + -17z * -1] = 6 + (6z + 0) [-4 + 17z] = 6 + (6z + 0) Reorder the terms: -4 + 17z = 6 + (0 + 6z) Remove the zero: -4 + 17z = 6 + (6z) -4 + 17z = 6 + (6z) Solving -4 + 17z = 6 + (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. -4 + 17z + (-6z) = 6 + (6z) + (-6z) Combine like terms: 17z + (-6z) = 11z -4 + 11z = 6 + (6z) + (-6z) Combine like terms: (6z) + (-6z) = 0 -4 + 11z = 6 + 0 -4 + 11z = 6 Add '4' to each side of the equation. -4 + 4 + 11z = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 11z = 6 + 4 11z = 6 + 4 Combine like terms: 6 + 4 = 10 11z = 10 Divide each side by '11'. z = 0.9090909091 Simplifying z = 0.9090909091
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