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Simplifying 8z + 19 = 9z + 13 Reorder the terms: 19 + 8z = 9z + 13 Reorder the terms: 19 + 8z = 13 + 9z Solving 19 + 8z = 13 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 19 + 8z + -9z = 13 + 9z + -9z Combine like terms: 8z + -9z = -1z 19 + -1z = 13 + 9z + -9z Combine like terms: 9z + -9z = 0 19 + -1z = 13 + 0 19 + -1z = 13 Add '-19' to each side of the equation. 19 + -19 + -1z = 13 + -19 Combine like terms: 19 + -19 = 0 0 + -1z = 13 + -19 -1z = 13 + -19 Combine like terms: 13 + -19 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6
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