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Simplifying 2a + 12 = 21 + -1a Reorder the terms: 12 + 2a = 21 + -1a Solving 12 + 2a = 21 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 12 + 2a + a = 21 + -1a + a Combine like terms: 2a + a = 3a 12 + 3a = 21 + -1a + a Combine like terms: -1a + a = 0 12 + 3a = 21 + 0 12 + 3a = 21 Add '-12' to each side of the equation. 12 + -12 + 3a = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 21 + -12 3a = 21 + -12 Combine like terms: 21 + -12 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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