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Simplifying 12z + 21 = 2z + -3 Reorder the terms: 21 + 12z = 2z + -3 Reorder the terms: 21 + 12z = -3 + 2z Solving 21 + 12z = -3 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 21 + 12z + -2z = -3 + 2z + -2z Combine like terms: 12z + -2z = 10z 21 + 10z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 21 + 10z = -3 + 0 21 + 10z = -3 Add '-21' to each side of the equation. 21 + -21 + 10z = -3 + -21 Combine like terms: 21 + -21 = 0 0 + 10z = -3 + -21 10z = -3 + -21 Combine like terms: -3 + -21 = -24 10z = -24 Divide each side by '10'. z = -2.4 Simplifying z = -2.4
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