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Simplifying 9 + 13z = 9 + -8z Add '-9' to each side of the equation. 9 + -9 + 13z = 9 + -9 + -8z Combine like terms: 9 + -9 = 0 0 + 13z = 9 + -9 + -8z 13z = 9 + -9 + -8z Combine like terms: 9 + -9 = 0 13z = 0 + -8z 13z = -8z Solving 13z = -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. 13z + 8z = -8z + 8z Combine like terms: 13z + 8z = 21z 21z = -8z + 8z Combine like terms: -8z + 8z = 0 21z = 0 Divide each side by '21'. z = 0 Simplifying z = 0
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