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Simplifying 3z + 31 = -2z + 16 Reorder the terms: 31 + 3z = -2z + 16 Reorder the terms: 31 + 3z = 16 + -2z Solving 31 + 3z = 16 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 31 + 3z + 2z = 16 + -2z + 2z Combine like terms: 3z + 2z = 5z 31 + 5z = 16 + -2z + 2z Combine like terms: -2z + 2z = 0 31 + 5z = 16 + 0 31 + 5z = 16 Add '-31' to each side of the equation. 31 + -31 + 5z = 16 + -31 Combine like terms: 31 + -31 = 0 0 + 5z = 16 + -31 5z = 16 + -31 Combine like terms: 16 + -31 = -15 5z = -15 Divide each side by '5'. z = -3 Simplifying z = -3
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