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Simplifying 5 + 6z + -2 = 7z + 27 + -5z Reorder the terms: 5 + -2 + 6z = 7z + 27 + -5z Combine like terms: 5 + -2 = 3 3 + 6z = 7z + 27 + -5z Reorder the terms: 3 + 6z = 27 + 7z + -5z Combine like terms: 7z + -5z = 2z 3 + 6z = 27 + 2z Solving 3 + 6z = 27 + 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 + 6z + -2z = 27 + 2z + -2z Combine like terms: 6z + -2z = 4z 3 + 4z = 27 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 4z = 27 + 0 3 + 4z = 27 Add '-3' to each side of the equation. 3 + -3 + 4z = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 4z = 27 + -3 4z = 27 + -3 Combine like terms: 27 + -3 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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