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Simplifying -9[9z + -1(12z + 2)] = 2 + (2x + 1) Reorder the terms: -9[9z + -1(2 + 12z)] = 2 + (2x + 1) -9[9z + (2 * -1 + 12z * -1)] = 2 + (2x + 1) -9[9z + (-2 + -12z)] = 2 + (2x + 1) Reorder the terms: -9[-2 + 9z + -12z] = 2 + (2x + 1) Combine like terms: 9z + -12z = -3z -9[-2 + -3z] = 2 + (2x + 1) [-2 * -9 + -3z * -9] = 2 + (2x + 1) [18 + 27z] = 2 + (2x + 1) Reorder the terms: 18 + 27z = 2 + (1 + 2x) Remove parenthesis around (1 + 2x) 18 + 27z = 2 + 1 + 2x Combine like terms: 2 + 1 = 3 18 + 27z = 3 + 2x Solving 18 + 27z = 3 + 2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 27z = 3 + -18 + 2x Combine like terms: 18 + -18 = 0 0 + 27z = 3 + -18 + 2x 27z = 3 + -18 + 2x Combine like terms: 3 + -18 = -15 27z = -15 + 2x Divide each side by '27'. z = -0.5555555556 + 0.07407407407x Simplifying z = -0.5555555556 + 0.07407407407x
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