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Simplifying 3a + -2 = 12 + a Reorder the terms: -2 + 3a = 12 + a Solving -2 + 3a = 12 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -2 + 3a + -1a = 12 + a + -1a Combine like terms: 3a + -1a = 2a -2 + 2a = 12 + a + -1a Combine like terms: a + -1a = 0 -2 + 2a = 12 + 0 -2 + 2a = 12 Add '2' to each side of the equation. -2 + 2 + 2a = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = 12 + 2 2a = 12 + 2 Combine like terms: 12 + 2 = 14 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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