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Simplifying -2a + 4 + 7a = 9a + -6a Reorder the terms: 4 + -2a + 7a = 9a + -6a Combine like terms: -2a + 7a = 5a 4 + 5a = 9a + -6a Combine like terms: 9a + -6a = 3a 4 + 5a = 3a Solving 4 + 5a = 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. 4 + 5a + -3a = 3a + -3a Combine like terms: 5a + -3a = 2a 4 + 2a = 3a + -3a Combine like terms: 3a + -3a = 0 4 + 2a = 0 Add '-4' to each side of the equation. 4 + -4 + 2a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2a = 0 + -4 2a = 0 + -4 Combine like terms: 0 + -4 = -4 2a = -4 Divide each side by '2'. a = -2 Simplifying a = -2
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