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Simplifying 12 + 3a = 4a + -2a + 1 Reorder the terms: 12 + 3a = 1 + 4a + -2a Combine like terms: 4a + -2a = 2a 12 + 3a = 1 + 2a Solving 12 + 3a = 1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 12 + 3a + -2a = 1 + 2a + -2a Combine like terms: 3a + -2a = 1a 12 + 1a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 12 + 1a = 1 + 0 12 + 1a = 1 Add '-12' to each side of the equation. 12 + -12 + 1a = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 1a = 1 + -12 1a = 1 + -12 Combine like terms: 1 + -12 = -11 1a = -11 Divide each side by '1'. a = -11 Simplifying a = -11
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