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Simplifying 8z + 12 = 7z + 6 Reorder the terms: 12 + 8z = 7z + 6 Reorder the terms: 12 + 8z = 6 + 7z Solving 12 + 8z = 6 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 12 + 8z + -7z = 6 + 7z + -7z Combine like terms: 8z + -7z = 1z 12 + 1z = 6 + 7z + -7z Combine like terms: 7z + -7z = 0 12 + 1z = 6 + 0 12 + 1z = 6 Add '-12' to each side of the equation. 12 + -12 + 1z = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 6 + -12 1z = 6 + -12 Combine like terms: 6 + -12 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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