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Simplifying -4a + 12 + 7a = 6a + -9a Reorder the terms: 12 + -4a + 7a = 6a + -9a Combine like terms: -4a + 7a = 3a 12 + 3a = 6a + -9a Combine like terms: 6a + -9a = -3a 12 + 3a = -3a Solving 12 + 3a = -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 12 + 3a + 3a = -3a + 3a Combine like terms: 3a + 3a = 6a 12 + 6a = -3a + 3a Combine like terms: -3a + 3a = 0 12 + 6a = 0 Add '-12' to each side of the equation. 12 + -12 + 6a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6a = 0 + -12 6a = 0 + -12 Combine like terms: 0 + -12 = -12 6a = -12 Divide each side by '6'. a = -2 Simplifying a = -2
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