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Simplifying 7z + -23 = z + 7 Reorder the terms: -23 + 7z = z + 7 Reorder the terms: -23 + 7z = 7 + z Solving -23 + 7z = 7 + 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. -23 + 7z + -1z = 7 + z + -1z Combine like terms: 7z + -1z = 6z -23 + 6z = 7 + z + -1z Combine like terms: z + -1z = 0 -23 + 6z = 7 + 0 -23 + 6z = 7 Add '23' to each side of the equation. -23 + 23 + 6z = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 6z = 7 + 23 6z = 7 + 23 Combine like terms: 7 + 23 = 30 6z = 30 Divide each side by '6'. z = 5 Simplifying z = 5
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