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Simplifying 3z + 4 = 8z + 9 Reorder the terms: 4 + 3z = 8z + 9 Reorder the terms: 4 + 3z = 9 + 8z Solving 4 + 3z = 9 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 4 + 3z + -8z = 9 + 8z + -8z Combine like terms: 3z + -8z = -5z 4 + -5z = 9 + 8z + -8z Combine like terms: 8z + -8z = 0 4 + -5z = 9 + 0 4 + -5z = 9 Add '-4' to each side of the equation. 4 + -4 + -5z = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5z = 9 + -4 -5z = 9 + -4 Combine like terms: 9 + -4 = 5 -5z = 5 Divide each side by '-5'. z = -1 Simplifying z = -1
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