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Simplifying 21 + 4z = 54 + -7z Solving 21 + 4z = 54 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 21 + 4z + 7z = 54 + -7z + 7z Combine like terms: 4z + 7z = 11z 21 + 11z = 54 + -7z + 7z Combine like terms: -7z + 7z = 0 21 + 11z = 54 + 0 21 + 11z = 54 Add '-21' to each side of the equation. 21 + -21 + 11z = 54 + -21 Combine like terms: 21 + -21 = 0 0 + 11z = 54 + -21 11z = 54 + -21 Combine like terms: 54 + -21 = 33 11z = 33 Divide each side by '11'. z = 3 Simplifying z = 3
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