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Simplifying 12 + 7z = z + -6 Reorder the terms: 12 + 7z = -6 + z Solving 12 + 7z = -6 + 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. 12 + 7z + -1z = -6 + z + -1z Combine like terms: 7z + -1z = 6z 12 + 6z = -6 + z + -1z Combine like terms: z + -1z = 0 12 + 6z = -6 + 0 12 + 6z = -6 Add '-12' to each side of the equation. 12 + -12 + 6z = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6z = -6 + -12 6z = -6 + -12 Combine like terms: -6 + -12 = -18 6z = -18 Divide each side by '6'. z = -3 Simplifying z = -3
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