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Simplifying 3 + 16z + -2 = 7z + 97 + -3z Reorder the terms: 3 + -2 + 16z = 7z + 97 + -3z Combine like terms: 3 + -2 = 1 1 + 16z = 7z + 97 + -3z Reorder the terms: 1 + 16z = 97 + 7z + -3z Combine like terms: 7z + -3z = 4z 1 + 16z = 97 + 4z Solving 1 + 16z = 97 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 1 + 16z + -4z = 97 + 4z + -4z Combine like terms: 16z + -4z = 12z 1 + 12z = 97 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + 12z = 97 + 0 1 + 12z = 97 Add '-1' to each side of the equation. 1 + -1 + 12z = 97 + -1 Combine like terms: 1 + -1 = 0 0 + 12z = 97 + -1 12z = 97 + -1 Combine like terms: 97 + -1 = 96 12z = 96 Divide each side by '12'. z = 8 Simplifying z = 8
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