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Simplifying 21 + -9z = 5 + -7z Solving 21 + -9z = 5 + -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 + -9z + 7z = 5 + -7z + 7z Combine like terms: -9z + 7z = -2z 21 + -2z = 5 + -7z + 7z Combine like terms: -7z + 7z = 0 21 + -2z = 5 + 0 21 + -2z = 5 Add '-21' to each side of the equation. 21 + -21 + -2z = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -2z = 5 + -21 -2z = 5 + -21 Combine like terms: 5 + -21 = -16 -2z = -16 Divide each side by '-2'. z = 8 Simplifying z = 8
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