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Simplifying 2z + 30 = 38 + -2z Reorder the terms: 30 + 2z = 38 + -2z Solving 30 + 2z = 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. 30 + 2z + 2z = 38 + -2z + 2z Combine like terms: 2z + 2z = 4z 30 + 4z = 38 + -2z + 2z Combine like terms: -2z + 2z = 0 30 + 4z = 38 + 0 30 + 4z = 38 Add '-30' to each side of the equation. 30 + -30 + 4z = 38 + -30 Combine like terms: 30 + -30 = 0 0 + 4z = 38 + -30 4z = 38 + -30 Combine like terms: 38 + -30 = 8 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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