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Simplifying -21a + 23 = 41 + -12a Reorder the terms: 23 + -21a = 41 + -12a Solving 23 + -21a = 41 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 23 + -21a + 12a = 41 + -12a + 12a Combine like terms: -21a + 12a = -9a 23 + -9a = 41 + -12a + 12a Combine like terms: -12a + 12a = 0 23 + -9a = 41 + 0 23 + -9a = 41 Add '-23' to each side of the equation. 23 + -23 + -9a = 41 + -23 Combine like terms: 23 + -23 = 0 0 + -9a = 41 + -23 -9a = 41 + -23 Combine like terms: 41 + -23 = 18 -9a = 18 Divide each side by '-9'. a = -2 Simplifying a = -2
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