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Simplifying 8z + -9 = -33 + 5z Reorder the terms: -9 + 8z = -33 + 5z Solving -9 + 8z = -33 + 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. -9 + 8z + -5z = -33 + 5z + -5z Combine like terms: 8z + -5z = 3z -9 + 3z = -33 + 5z + -5z Combine like terms: 5z + -5z = 0 -9 + 3z = -33 + 0 -9 + 3z = -33 Add '9' to each side of the equation. -9 + 9 + 3z = -33 + 9 Combine like terms: -9 + 9 = 0 0 + 3z = -33 + 9 3z = -33 + 9 Combine like terms: -33 + 9 = -24 3z = -24 Divide each side by '3'. z = -8 Simplifying z = -8
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