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Simplifying 9 + 9z + -2 = 9z + 31 + -4z Reorder the terms: 9 + -2 + 9z = 9z + 31 + -4z Combine like terms: 9 + -2 = 7 7 + 9z = 9z + 31 + -4z Reorder the terms: 7 + 9z = 31 + 9z + -4z Combine like terms: 9z + -4z = 5z 7 + 9z = 31 + 5z Solving 7 + 9z = 31 + 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. 7 + 9z + -5z = 31 + 5z + -5z Combine like terms: 9z + -5z = 4z 7 + 4z = 31 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + 4z = 31 + 0 7 + 4z = 31 Add '-7' to each side of the equation. 7 + -7 + 4z = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 4z = 31 + -7 4z = 31 + -7 Combine like terms: 31 + -7 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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