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Simplifying 7z + 3 = 6z + 1 Reorder the terms: 3 + 7z = 6z + 1 Reorder the terms: 3 + 7z = 1 + 6z Solving 3 + 7z = 1 + 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. 3 + 7z + -6z = 1 + 6z + -6z Combine like terms: 7z + -6z = 1z 3 + 1z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + 1z = 1 + 0 3 + 1z = 1 Add '-3' to each side of the equation. 3 + -3 + 1z = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 1 + -3 1z = 1 + -3 Combine like terms: 1 + -3 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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