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Simplifying 3 + 13z + -1 = 9z + 50 + -4z Reorder the terms: 3 + -1 + 13z = 9z + 50 + -4z Combine like terms: 3 + -1 = 2 2 + 13z = 9z + 50 + -4z Reorder the terms: 2 + 13z = 50 + 9z + -4z Combine like terms: 9z + -4z = 5z 2 + 13z = 50 + 5z Solving 2 + 13z = 50 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + 13z + -5z = 50 + 5z + -5z Combine like terms: 13z + -5z = 8z 2 + 8z = 50 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + 8z = 50 + 0 2 + 8z = 50 Add '-2' to each side of the equation. 2 + -2 + 8z = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 8z = 50 + -2 8z = 50 + -2 Combine like terms: 50 + -2 = 48 8z = 48 Divide each side by '8'. z = 6 Simplifying z = 6
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