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Simplifying 7z + 19 = 6z + 9 Reorder the terms: 19 + 7z = 6z + 9 Reorder the terms: 19 + 7z = 9 + 6z Solving 19 + 7z = 9 + 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. 19 + 7z + -6z = 9 + 6z + -6z Combine like terms: 7z + -6z = 1z 19 + 1z = 9 + 6z + -6z Combine like terms: 6z + -6z = 0 19 + 1z = 9 + 0 19 + 1z = 9 Add '-19' to each side of the equation. 19 + -19 + 1z = 9 + -19 Combine like terms: 19 + -19 = 0 0 + 1z = 9 + -19 1z = 9 + -19 Combine like terms: 9 + -19 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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