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Simplifying 7ab + -4a + -4ba + 12a = 3ab + -8a Reorder the terms: -4a + 12a + 7ab + -4ab = 3ab + -8a Combine like terms: -4a + 12a = 8a 8a + 7ab + -4ab = 3ab + -8a Combine like terms: 7ab + -4ab = 3ab 8a + 3ab = 3ab + -8a Reorder the terms: 8a + 3ab = -8a + 3ab Add '-3ab' to each side of the equation. 8a + 3ab + -3ab = -8a + 3ab + -3ab Combine like terms: 3ab + -3ab = 0 8a + 0 = -8a + 3ab + -3ab 8a = -8a + 3ab + -3ab Combine like terms: 3ab + -3ab = 0 8a = -8a + 0 8a = -8a Solving 8a = -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 8a + 8a = -8a + 8a Combine like terms: 8a + 8a = 16a 16a = -8a + 8a Combine like terms: -8a + 8a = 0 16a = 0 Divide each side by '16'. a = 0 Simplifying a = 0
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