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Simplifying 7z + 77 = 4z + 158 Reorder the terms: 77 + 7z = 4z + 158 Reorder the terms: 77 + 7z = 158 + 4z Solving 77 + 7z = 158 + 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. 77 + 7z + -4z = 158 + 4z + -4z Combine like terms: 7z + -4z = 3z 77 + 3z = 158 + 4z + -4z Combine like terms: 4z + -4z = 0 77 + 3z = 158 + 0 77 + 3z = 158 Add '-77' to each side of the equation. 77 + -77 + 3z = 158 + -77 Combine like terms: 77 + -77 = 0 0 + 3z = 158 + -77 3z = 158 + -77 Combine like terms: 158 + -77 = 81 3z = 81 Divide each side by '3'. z = 27 Simplifying z = 27
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