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Simplifying -1[8z + -1(17z + -2)] = 2 + (8z + 0) Reorder the terms: -1[8z + -1(-2 + 17z)] = 2 + (8z + 0) -1[8z + (-2 * -1 + 17z * -1)] = 2 + (8z + 0) -1[8z + (2 + -17z)] = 2 + (8z + 0) Reorder the terms: -1[2 + 8z + -17z] = 2 + (8z + 0) Combine like terms: 8z + -17z = -9z -1[2 + -9z] = 2 + (8z + 0) [2 * -1 + -9z * -1] = 2 + (8z + 0) [-2 + 9z] = 2 + (8z + 0) Reorder the terms: -2 + 9z = 2 + (0 + 8z) Remove the zero: -2 + 9z = 2 + (8z) -2 + 9z = 2 + (8z) Solving -2 + 9z = 2 + (8z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(-8z)' to each side of the equation. -2 + 9z + (-8z) = 2 + (8z) + (-8z) Combine like terms: 9z + (-8z) = 1z -2 + 1z = 2 + (8z) + (-8z) Combine like terms: (8z) + (-8z) = 0 -2 + 1z = 2 + 0 -2 + 1z = 2 Add '2' to each side of the equation. -2 + 2 + 1z = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 1z = 2 + 2 1z = 2 + 2 Combine like terms: 2 + 2 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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