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Simplifying 7z + -1 = z + 17 Reorder the terms: -1 + 7z = z + 17 Reorder the terms: -1 + 7z = 17 + z Solving -1 + 7z = 17 + 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. -1 + 7z + -1z = 17 + z + -1z Combine like terms: 7z + -1z = 6z -1 + 6z = 17 + z + -1z Combine like terms: z + -1z = 0 -1 + 6z = 17 + 0 -1 + 6z = 17 Add '1' to each side of the equation. -1 + 1 + 6z = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 6z = 17 + 1 6z = 17 + 1 Combine like terms: 17 + 1 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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