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Simplifying 9 + 9z + -8 = 9z + 13 + -4z Reorder the terms: 9 + -8 + 9z = 9z + 13 + -4z Combine like terms: 9 + -8 = 1 1 + 9z = 9z + 13 + -4z Reorder the terms: 1 + 9z = 13 + 9z + -4z Combine like terms: 9z + -4z = 5z 1 + 9z = 13 + 5z Solving 1 + 9z = 13 + 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. 1 + 9z + -5z = 13 + 5z + -5z Combine like terms: 9z + -5z = 4z 1 + 4z = 13 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + 4z = 13 + 0 1 + 4z = 13 Add '-1' to each side of the equation. 1 + -1 + 4z = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 4z = 13 + -1 4z = 13 + -1 Combine like terms: 13 + -1 = 12 4z = 12 Divide each side by '4'. z = 3 Simplifying z = 3
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