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Simplifying 7z + -17 = z + 1 Reorder the terms: -17 + 7z = z + 1 Reorder the terms: -17 + 7z = 1 + z Solving -17 + 7z = 1 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -17 + 7z + -1z = 1 + z + -1z Combine like terms: 7z + -1z = 6z -17 + 6z = 1 + z + -1z Combine like terms: z + -1z = 0 -17 + 6z = 1 + 0 -17 + 6z = 1 Add '17' to each side of the equation. -17 + 17 + 6z = 1 + 17 Combine like terms: -17 + 17 = 0 0 + 6z = 1 + 17 6z = 1 + 17 Combine like terms: 1 + 17 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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