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Simplifying (7z + 1) + (9z) = -79 Reorder the terms: (1 + 7z) + (9z) = -79 Remove parenthesis around (1 + 7z) 1 + 7z + (9z) = -79 Combine like terms: 7z + (9z) = 16z 1 + 16z = -79 Solving 1 + 16z = -79 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 16z = -79 + -1 Combine like terms: 1 + -1 = 0 0 + 16z = -79 + -1 16z = -79 + -1 Combine like terms: -79 + -1 = -80 16z = -80 Divide each side by '16'. z = -5 Simplifying z = -5
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