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Simplifying 8 + 9z + -2 = 8z + 21 + -4z Reorder the terms: 8 + -2 + 9z = 8z + 21 + -4z Combine like terms: 8 + -2 = 6 6 + 9z = 8z + 21 + -4z Reorder the terms: 6 + 9z = 21 + 8z + -4z Combine like terms: 8z + -4z = 4z 6 + 9z = 21 + 4z Solving 6 + 9z = 21 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 6 + 9z + -4z = 21 + 4z + -4z Combine like terms: 9z + -4z = 5z 6 + 5z = 21 + 4z + -4z Combine like terms: 4z + -4z = 0 6 + 5z = 21 + 0 6 + 5z = 21 Add '-6' to each side of the equation. 6 + -6 + 5z = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 5z = 21 + -6 5z = 21 + -6 Combine like terms: 21 + -6 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
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