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Simplifying 7z + 18 = 6z + 17 Reorder the terms: 18 + 7z = 6z + 17 Reorder the terms: 18 + 7z = 17 + 6z Solving 18 + 7z = 17 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 18 + 7z + -6z = 17 + 6z + -6z Combine like terms: 7z + -6z = 1z 18 + 1z = 17 + 6z + -6z Combine like terms: 6z + -6z = 0 18 + 1z = 17 + 0 18 + 1z = 17 Add '-18' to each side of the equation. 18 + -18 + 1z = 17 + -18 Combine like terms: 18 + -18 = 0 0 + 1z = 17 + -18 1z = 17 + -18 Combine like terms: 17 + -18 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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