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Simplifying 2a + -21 + 32 = 12 + 23d Reorder the terms: -21 + 32 + 2a = 12 + 23d Combine like terms: -21 + 32 = 11 11 + 2a = 12 + 23d Solving 11 + 2a = 12 + 23d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2a = 12 + -11 + 23d Combine like terms: 11 + -11 = 0 0 + 2a = 12 + -11 + 23d 2a = 12 + -11 + 23d Combine like terms: 12 + -11 = 1 2a = 1 + 23d Divide each side by '2'. a = 0.5 + 11.5d Simplifying a = 0.5 + 11.5d
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