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Simplifying 7z + 12 = 6z + 10 Reorder the terms: 12 + 7z = 6z + 10 Reorder the terms: 12 + 7z = 10 + 6z Solving 12 + 7z = 10 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 12 + 7z + -6z = 10 + 6z + -6z Combine like terms: 7z + -6z = 1z 12 + 1z = 10 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + 1z = 10 + 0 12 + 1z = 10 Add '-12' to each side of the equation. 12 + -12 + 1z = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 10 + -12 1z = 10 + -12 Combine like terms: 10 + -12 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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