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Simplifying -1[3z + -1(14z + 2)] = 2 + (10z + 9) Reorder the terms: -1[3z + -1(2 + 14z)] = 2 + (10z + 9) -1[3z + (2 * -1 + 14z * -1)] = 2 + (10z + 9) -1[3z + (-2 + -14z)] = 2 + (10z + 9) Reorder the terms: -1[-2 + 3z + -14z] = 2 + (10z + 9) Combine like terms: 3z + -14z = -11z -1[-2 + -11z] = 2 + (10z + 9) [-2 * -1 + -11z * -1] = 2 + (10z + 9) [2 + 11z] = 2 + (10z + 9) Reorder the terms: 2 + 11z = 2 + (9 + 10z) Remove parenthesis around (9 + 10z) 2 + 11z = 2 + 9 + 10z Combine like terms: 2 + 9 = 11 2 + 11z = 11 + 10z Solving 2 + 11z = 11 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 2 + 11z + -10z = 11 + 10z + -10z Combine like terms: 11z + -10z = 1z 2 + 1z = 11 + 10z + -10z Combine like terms: 10z + -10z = 0 2 + 1z = 11 + 0 2 + 1z = 11 Add '-2' to each side of the equation. 2 + -2 + 1z = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 11 + -2 1z = 11 + -2 Combine like terms: 11 + -2 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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