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Simplifying -5a + 6 + 6a = -2a + 9 Reorder the terms: 6 + -5a + 6a = -2a + 9 Combine like terms: -5a + 6a = 1a 6 + 1a = -2a + 9 Reorder the terms: 6 + 1a = 9 + -2a Solving 6 + 1a = 9 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 6 + 1a + 2a = 9 + -2a + 2a Combine like terms: 1a + 2a = 3a 6 + 3a = 9 + -2a + 2a Combine like terms: -2a + 2a = 0 6 + 3a = 9 + 0 6 + 3a = 9 Add '-6' to each side of the equation. 6 + -6 + 3a = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 3a = 9 + -6 3a = 9 + -6 Combine like terms: 9 + -6 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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