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Simplifying 3z + 9 = 1 + -1z Reorder the terms: 9 + 3z = 1 + -1z Solving 9 + 3z = 1 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 9 + 3z + z = 1 + -1z + z Combine like terms: 3z + z = 4z 9 + 4z = 1 + -1z + z Combine like terms: -1z + z = 0 9 + 4z = 1 + 0 9 + 4z = 1 Add '-9' to each side of the equation. 9 + -9 + 4z = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 4z = 1 + -9 4z = 1 + -9 Combine like terms: 1 + -9 = -8 4z = -8 Divide each side by '4'. z = -2 Simplifying z = -2
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