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Simplifying a + -4 = 12 + -3a + 2a Reorder the terms: -4 + a = 12 + -3a + 2a Combine like terms: -3a + 2a = -1a -4 + a = 12 + -1a Solving -4 + a = 12 + -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. -4 + a + a = 12 + -1a + a Combine like terms: a + a = 2a -4 + 2a = 12 + -1a + a Combine like terms: -1a + a = 0 -4 + 2a = 12 + 0 -4 + 2a = 12 Add '4' to each side of the equation. -4 + 4 + 2a = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 12 + 4 2a = 12 + 4 Combine like terms: 12 + 4 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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