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