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Simplifying 7z + -4 = 38 + 4z Reorder the terms: -4 + 7z = 38 + 4z Solving -4 + 7z = 38 + 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. -4 + 7z + -4z = 38 + 4z + -4z Combine like terms: 7z + -4z = 3z -4 + 3z = 38 + 4z + -4z Combine like terms: 4z + -4z = 0 -4 + 3z = 38 + 0 -4 + 3z = 38 Add '4' to each side of the equation. -4 + 4 + 3z = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 3z = 38 + 4 3z = 38 + 4 Combine like terms: 38 + 4 = 42 3z = 42 Divide each side by '3'. z = 14 Simplifying z = 14
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