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Simplifying 5z + 3 + -2z = 38 + -2z Reorder the terms: 3 + 5z + -2z = 38 + -2z Combine like terms: 5z + -2z = 3z 3 + 3z = 38 + -2z Solving 3 + 3z = 38 + -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. 3 + 3z + 2z = 38 + -2z + 2z Combine like terms: 3z + 2z = 5z 3 + 5z = 38 + -2z + 2z Combine like terms: -2z + 2z = 0 3 + 5z = 38 + 0 3 + 5z = 38 Add '-3' to each side of the equation. 3 + -3 + 5z = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = 38 + -3 5z = 38 + -3 Combine like terms: 38 + -3 = 35 5z = 35 Divide each side by '5'. z = 7 Simplifying z = 7
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