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Simplifying 7z + 6 = z + 12 Reorder the terms: 6 + 7z = z + 12 Reorder the terms: 6 + 7z = 12 + z Solving 6 + 7z = 12 + 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. 6 + 7z + -1z = 12 + z + -1z Combine like terms: 7z + -1z = 6z 6 + 6z = 12 + z + -1z Combine like terms: z + -1z = 0 6 + 6z = 12 + 0 6 + 6z = 12 Add '-6' to each side of the equation. 6 + -6 + 6z = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 6z = 12 + -6 6z = 12 + -6 Combine like terms: 12 + -6 = 6 6z = 6 Divide each side by '6'. z = 1 Simplifying z = 1
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