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Simplifying 7z + -2z + z + -4z + 1 = 11 Reorder the terms: 1 + 7z + -2z + z + -4z = 11 Combine like terms: 7z + -2z = 5z 1 + 5z + z + -4z = 11 Combine like terms: 5z + z = 6z 1 + 6z + -4z = 11 Combine like terms: 6z + -4z = 2z 1 + 2z = 11 Solving 1 + 2z = 11 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2z = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2z = 11 + -1 2z = 11 + -1 Combine like terms: 11 + -1 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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