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Simplifying -1[8z + -1(11z + 9)] = 9 + (2z + 3) Reorder the terms: -1[8z + -1(9 + 11z)] = 9 + (2z + 3) -1[8z + (9 * -1 + 11z * -1)] = 9 + (2z + 3) -1[8z + (-9 + -11z)] = 9 + (2z + 3) Reorder the terms: -1[-9 + 8z + -11z] = 9 + (2z + 3) Combine like terms: 8z + -11z = -3z -1[-9 + -3z] = 9 + (2z + 3) [-9 * -1 + -3z * -1] = 9 + (2z + 3) [9 + 3z] = 9 + (2z + 3) Reorder the terms: 9 + 3z = 9 + (3 + 2z) Remove parenthesis around (3 + 2z) 9 + 3z = 9 + 3 + 2z Combine like terms: 9 + 3 = 12 9 + 3z = 12 + 2z Solving 9 + 3z = 12 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 9 + 3z + -2z = 12 + 2z + -2z Combine like terms: 3z + -2z = 1z 9 + 1z = 12 + 2z + -2z Combine like terms: 2z + -2z = 0 9 + 1z = 12 + 0 9 + 1z = 12 Add '-9' to each side of the equation. 9 + -9 + 1z = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 12 + -9 1z = 12 + -9 Combine like terms: 12 + -9 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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