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Simplifying 7z + -7 = z + 17 Reorder the terms: -7 + 7z = z + 17 Reorder the terms: -7 + 7z = 17 + z Solving -7 + 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. -7 + 7z + -1z = 17 + z + -1z Combine like terms: 7z + -1z = 6z -7 + 6z = 17 + z + -1z Combine like terms: z + -1z = 0 -7 + 6z = 17 + 0 -7 + 6z = 17 Add '7' to each side of the equation. -7 + 7 + 6z = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 6z = 17 + 7 6z = 17 + 7 Combine like terms: 17 + 7 = 24 6z = 24 Divide each side by '6'. z = 4 Simplifying z = 4
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