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Simplifying 7z + -5 = 4z + 13 Reorder the terms: -5 + 7z = 4z + 13 Reorder the terms: -5 + 7z = 13 + 4z Solving -5 + 7z = 13 + 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. -5 + 7z + -4z = 13 + 4z + -4z Combine like terms: 7z + -4z = 3z -5 + 3z = 13 + 4z + -4z Combine like terms: 4z + -4z = 0 -5 + 3z = 13 + 0 -5 + 3z = 13 Add '5' to each side of the equation. -5 + 5 + 3z = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 3z = 13 + 5 3z = 13 + 5 Combine like terms: 13 + 5 = 18 3z = 18 Divide each side by '3'. z = 6 Simplifying z = 6
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