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Simplifying 9 + 2z + -3 = 9z + 24 + -4z Reorder the terms: 9 + -3 + 2z = 9z + 24 + -4z Combine like terms: 9 + -3 = 6 6 + 2z = 9z + 24 + -4z Reorder the terms: 6 + 2z = 24 + 9z + -4z Combine like terms: 9z + -4z = 5z 6 + 2z = 24 + 5z Solving 6 + 2z = 24 + 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. 6 + 2z + -5z = 24 + 5z + -5z Combine like terms: 2z + -5z = -3z 6 + -3z = 24 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + -3z = 24 + 0 6 + -3z = 24 Add '-6' to each side of the equation. 6 + -6 + -3z = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -3z = 24 + -6 -3z = 24 + -6 Combine like terms: 24 + -6 = 18 -3z = 18 Divide each side by '-3'. z = -6 Simplifying z = -6
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