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Simplifying 6z + 2z + -4z + 12 = 36 Reorder the terms: 12 + 6z + 2z + -4z = 36 Combine like terms: 6z + 2z = 8z 12 + 8z + -4z = 36 Combine like terms: 8z + -4z = 4z 12 + 4z = 36 Solving 12 + 4z = 36 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. 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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