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Simplifying 7z + -19 = 4z + 41 Reorder the terms: -19 + 7z = 4z + 41 Reorder the terms: -19 + 7z = 41 + 4z Solving -19 + 7z = 41 + 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. -19 + 7z + -4z = 41 + 4z + -4z Combine like terms: 7z + -4z = 3z -19 + 3z = 41 + 4z + -4z Combine like terms: 4z + -4z = 0 -19 + 3z = 41 + 0 -19 + 3z = 41 Add '19' to each side of the equation. -19 + 19 + 3z = 41 + 19 Combine like terms: -19 + 19 = 0 0 + 3z = 41 + 19 3z = 41 + 19 Combine like terms: 41 + 19 = 60 3z = 60 Divide each side by '3'. z = 20 Simplifying z = 20
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