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Simplifying a + 6 + 2a = 9 + -1a Reorder the terms: 6 + a + 2a = 9 + -1a Combine like terms: a + 2a = 3a 6 + 3a = 9 + -1a Solving 6 + 3a = 9 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 6 + 3a + a = 9 + -1a + a Combine like terms: 3a + a = 4a 6 + 4a = 9 + -1a + a Combine like terms: -1a + a = 0 6 + 4a = 9 + 0 6 + 4a = 9 Add '-6' to each side of the equation. 6 + -6 + 4a = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 4a = 9 + -6 4a = 9 + -6 Combine like terms: 9 + -6 = 3 4a = 3 Divide each side by '4'. a = 0.75 Simplifying a = 0.75
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