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Simplifying 5z + 9 = 3z + -1 Reorder the terms: 9 + 5z = 3z + -1 Reorder the terms: 9 + 5z = -1 + 3z Solving 9 + 5z = -1 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 9 + 5z + -3z = -1 + 3z + -3z Combine like terms: 5z + -3z = 2z 9 + 2z = -1 + 3z + -3z Combine like terms: 3z + -3z = 0 9 + 2z = -1 + 0 9 + 2z = -1 Add '-9' to each side of the equation. 9 + -9 + 2z = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 2z = -1 + -9 2z = -1 + -9 Combine like terms: -1 + -9 = -10 2z = -10 Divide each side by '2'. z = -5 Simplifying z = -5
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