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Simplifying 39 + 3z = 144 + -2z Solving 39 + 3z = 144 + -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. 39 + 3z + 2z = 144 + -2z + 2z Combine like terms: 3z + 2z = 5z 39 + 5z = 144 + -2z + 2z Combine like terms: -2z + 2z = 0 39 + 5z = 144 + 0 39 + 5z = 144 Add '-39' to each side of the equation. 39 + -39 + 5z = 144 + -39 Combine like terms: 39 + -39 = 0 0 + 5z = 144 + -39 5z = 144 + -39 Combine like terms: 144 + -39 = 105 5z = 105 Divide each side by '5'. z = 21 Simplifying z = 21
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