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Simplifying a + 3 = 3a + -4a + 9 Reorder the terms: 3 + a = 3a + -4a + 9 Reorder the terms: 3 + a = 9 + 3a + -4a Combine like terms: 3a + -4a = -1a 3 + a = 9 + -1a Solving 3 + a = 9 + -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. 3 + a + a = 9 + -1a + a Combine like terms: a + a = 2a 3 + 2a = 9 + -1a + a Combine like terms: -1a + a = 0 3 + 2a = 9 + 0 3 + 2a = 9 Add '-3' to each side of the equation. 3 + -3 + 2a = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 9 + -3 2a = 9 + -3 Combine like terms: 9 + -3 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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