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Simplifying -5z + -19 = 5 + -13z Reorder the terms: -19 + -5z = 5 + -13z Solving -19 + -5z = 5 + -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. -19 + -5z + 13z = 5 + -13z + 13z Combine like terms: -5z + 13z = 8z -19 + 8z = 5 + -13z + 13z Combine like terms: -13z + 13z = 0 -19 + 8z = 5 + 0 -19 + 8z = 5 Add '19' to each side of the equation. -19 + 19 + 8z = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 8z = 5 + 19 8z = 5 + 19 Combine like terms: 5 + 19 = 24 8z = 24 Divide each side by '8'. z = 3 Simplifying z = 3
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