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Simplifying 7z + -12 = 6z + 25 Reorder the terms: -12 + 7z = 6z + 25 Reorder the terms: -12 + 7z = 25 + 6z Solving -12 + 7z = 25 + 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 = 25 + 6z + -6z Combine like terms: 7z + -6z = 1z -12 + 1z = 25 + 6z + -6z Combine like terms: 6z + -6z = 0 -12 + 1z = 25 + 0 -12 + 1z = 25 Add '12' to each side of the equation. -12 + 12 + 1z = 25 + 12 Combine like terms: -12 + 12 = 0 0 + 1z = 25 + 12 1z = 25 + 12 Combine like terms: 25 + 12 = 37 1z = 37 Divide each side by '1'. z = 37 Simplifying z = 37
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