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Simplifying 3z + 6 = 27 + -4z Reorder the terms: 6 + 3z = 27 + -4z Solving 6 + 3z = 27 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 6 + 3z + 4z = 27 + -4z + 4z Combine like terms: 3z + 4z = 7z 6 + 7z = 27 + -4z + 4z Combine like terms: -4z + 4z = 0 6 + 7z = 27 + 0 6 + 7z = 27 Add '-6' to each side of the equation. 6 + -6 + 7z = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 7z = 27 + -6 7z = 27 + -6 Combine like terms: 27 + -6 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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