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Simplifying 2z + 9 = -4z + 3 Reorder the terms: 9 + 2z = -4z + 3 Reorder the terms: 9 + 2z = 3 + -4z Solving 9 + 2z = 3 + -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. 9 + 2z + 4z = 3 + -4z + 4z Combine like terms: 2z + 4z = 6z 9 + 6z = 3 + -4z + 4z Combine like terms: -4z + 4z = 0 9 + 6z = 3 + 0 9 + 6z = 3 Add '-9' to each side of the equation. 9 + -9 + 6z = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 6z = 3 + -9 6z = 3 + -9 Combine like terms: 3 + -9 = -6 6z = -6 Divide each side by '6'. z = -1 Simplifying z = -1
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