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Simplifying -4a + 6 + 2a = 5a + -9a Reorder the terms: 6 + -4a + 2a = 5a + -9a Combine like terms: -4a + 2a = -2a 6 + -2a = 5a + -9a Combine like terms: 5a + -9a = -4a 6 + -2a = -4a Solving 6 + -2a = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 6 + -2a + 4a = -4a + 4a Combine like terms: -2a + 4a = 2a 6 + 2a = -4a + 4a Combine like terms: -4a + 4a = 0 6 + 2a = 0 Add '-6' to each side of the equation. 6 + -6 + 2a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = 0 + -6 2a = 0 + -6 Combine like terms: 0 + -6 = -6 2a = -6 Divide each side by '2'. a = -3 Simplifying a = -3
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