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Simplifying 13z + 19 = 8z + -6 Reorder the terms: 19 + 13z = 8z + -6 Reorder the terms: 19 + 13z = -6 + 8z Solving 19 + 13z = -6 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 19 + 13z + -8z = -6 + 8z + -8z Combine like terms: 13z + -8z = 5z 19 + 5z = -6 + 8z + -8z Combine like terms: 8z + -8z = 0 19 + 5z = -6 + 0 19 + 5z = -6 Add '-19' to each side of the equation. 19 + -19 + 5z = -6 + -19 Combine like terms: 19 + -19 = 0 0 + 5z = -6 + -19 5z = -6 + -19 Combine like terms: -6 + -19 = -25 5z = -25 Divide each side by '5'. z = -5 Simplifying z = -5
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