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Simplifying 11 = -2z + 8 Reorder the terms: 11 = 8 + -2z Solving 11 = 8 + -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. 11 + 2z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 11 + 2z = 8 + 0 11 + 2z = 8 Add '-11' to each side of the equation. 11 + -11 + 2z = 8 + -11 Combine like terms: 11 + -11 = 0 0 + 2z = 8 + -11 2z = 8 + -11 Combine like terms: 8 + -11 = -3 2z = -3 Divide each side by '2'. z = -1.5 Simplifying z = -1.5
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