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Simplifying 11 + 15z = 8z + -13 + 5z Reorder the terms: 11 + 15z = -13 + 8z + 5z Combine like terms: 8z + 5z = 13z 11 + 15z = -13 + 13z Solving 11 + 15z = -13 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 11 + 15z + -13z = -13 + 13z + -13z Combine like terms: 15z + -13z = 2z 11 + 2z = -13 + 13z + -13z Combine like terms: 13z + -13z = 0 11 + 2z = -13 + 0 11 + 2z = -13 Add '-11' to each side of the equation. 11 + -11 + 2z = -13 + -11 Combine like terms: 11 + -11 = 0 0 + 2z = -13 + -11 2z = -13 + -11 Combine like terms: -13 + -11 = -24 2z = -24 Divide each side by '2'. z = -12 Simplifying z = -12
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