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Simplifying 13z + 9 = 8 + -3z + 2 Reorder the terms: 9 + 13z = 8 + -3z + 2 Reorder the terms: 9 + 13z = 8 + 2 + -3z Combine like terms: 8 + 2 = 10 9 + 13z = 10 + -3z Solving 9 + 13z = 10 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 9 + 13z + 3z = 10 + -3z + 3z Combine like terms: 13z + 3z = 16z 9 + 16z = 10 + -3z + 3z Combine like terms: -3z + 3z = 0 9 + 16z = 10 + 0 9 + 16z = 10 Add '-9' to each side of the equation. 9 + -9 + 16z = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 16z = 10 + -9 16z = 10 + -9 Combine like terms: 10 + -9 = 1 16z = 1 Divide each side by '16'. z = 0.0625 Simplifying z = 0.0625
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