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Simplifying 2z + 12 = 36 + -2z Reorder the terms: 12 + 2z = 36 + -2z Solving 12 + 2z = 36 + -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. 12 + 2z + 2z = 36 + -2z + 2z Combine like terms: 2z + 2z = 4z 12 + 4z = 36 + -2z + 2z Combine like terms: -2z + 2z = 0 12 + 4z = 36 + 0 12 + 4z = 36 Add '-12' to each side of the equation. 12 + -12 + 4z = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 4z = 36 + -12 4z = 36 + -12 Combine like terms: 36 + -12 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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