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Simplifying 7z + 21 = 10z + -21 Reorder the terms: 21 + 7z = 10z + -21 Reorder the terms: 21 + 7z = -21 + 10z Solving 21 + 7z = -21 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 21 + 7z + -10z = -21 + 10z + -10z Combine like terms: 7z + -10z = -3z 21 + -3z = -21 + 10z + -10z Combine like terms: 10z + -10z = 0 21 + -3z = -21 + 0 21 + -3z = -21 Add '-21' to each side of the equation. 21 + -21 + -3z = -21 + -21 Combine like terms: 21 + -21 = 0 0 + -3z = -21 + -21 -3z = -21 + -21 Combine like terms: -21 + -21 = -42 -3z = -42 Divide each side by '-3'. z = 14 Simplifying z = 14
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