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Simplifying 11z + 1 + -4z + 8 = 4z + -4 + 2z + -6 Reorder the terms: 1 + 8 + 11z + -4z = 4z + -4 + 2z + -6 Combine like terms: 1 + 8 = 9 9 + 11z + -4z = 4z + -4 + 2z + -6 Combine like terms: 11z + -4z = 7z 9 + 7z = 4z + -4 + 2z + -6 Reorder the terms: 9 + 7z = -4 + -6 + 4z + 2z Combine like terms: -4 + -6 = -10 9 + 7z = -10 + 4z + 2z Combine like terms: 4z + 2z = 6z 9 + 7z = -10 + 6z Solving 9 + 7z = -10 + 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. 9 + 7z + -6z = -10 + 6z + -6z Combine like terms: 7z + -6z = 1z 9 + 1z = -10 + 6z + -6z Combine like terms: 6z + -6z = 0 9 + 1z = -10 + 0 9 + 1z = -10 Add '-9' to each side of the equation. 9 + -9 + 1z = -10 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = -10 + -9 1z = -10 + -9 Combine like terms: -10 + -9 = -19 1z = -19 Divide each side by '1'. z = -19 Simplifying z = -19
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