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Simplifying 5z + 21 = 7z + 43 Reorder the terms: 21 + 5z = 7z + 43 Reorder the terms: 21 + 5z = 43 + 7z Solving 21 + 5z = 43 + 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 + 5z + -7z = 43 + 7z + -7z Combine like terms: 5z + -7z = -2z 21 + -2z = 43 + 7z + -7z Combine like terms: 7z + -7z = 0 21 + -2z = 43 + 0 21 + -2z = 43 Add '-21' to each side of the equation. 21 + -21 + -2z = 43 + -21 Combine like terms: 21 + -21 = 0 0 + -2z = 43 + -21 -2z = 43 + -21 Combine like terms: 43 + -21 = 22 -2z = 22 Divide each side by '-2'. z = -11 Simplifying z = -11
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