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Simplifying [2z + -1(11z + 2)] = 2 + (6z + 6) Reorder the terms: [2z + -1(2 + 11z)] = 2 + (6z + 6) [2z + (2 * -1 + 11z * -1)] = 2 + (6z + 6) [2z + (-2 + -11z)] = 2 + (6z + 6) Reorder the terms: [-2 + 2z + -11z] = 2 + (6z + 6) Combine like terms: 2z + -11z = -9z [-2 + -9z] = 2 + (6z + 6) Remove brackets around [-2 + -9z] -2 + -9z = 2 + (6z + 6) Reorder the terms: -2 + -9z = 2 + (6 + 6z) Remove parenthesis around (6 + 6z) -2 + -9z = 2 + 6 + 6z Combine like terms: 2 + 6 = 8 -2 + -9z = 8 + 6z Solving -2 + -9z = 8 + 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. -2 + -9z + -6z = 8 + 6z + -6z Combine like terms: -9z + -6z = -15z -2 + -15z = 8 + 6z + -6z Combine like terms: 6z + -6z = 0 -2 + -15z = 8 + 0 -2 + -15z = 8 Add '2' to each side of the equation. -2 + 2 + -15z = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -15z = 8 + 2 -15z = 8 + 2 Combine like terms: 8 + 2 = 10 -15z = 10 Divide each side by '-15'. z = -0.6666666667 Simplifying z = -0.6666666667
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