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Simplifying 3z + -4 = 8 + -9z Reorder the terms: -4 + 3z = 8 + -9z Solving -4 + 3z = 8 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -4 + 3z + 9z = 8 + -9z + 9z Combine like terms: 3z + 9z = 12z -4 + 12z = 8 + -9z + 9z Combine like terms: -9z + 9z = 0 -4 + 12z = 8 + 0 -4 + 12z = 8 Add '4' to each side of the equation. -4 + 4 + 12z = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 12z = 8 + 4 12z = 8 + 4 Combine like terms: 8 + 4 = 12 12z = 12 Divide each side by '12'. z = 1 Simplifying z = 1
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