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Simplifying a + -6a + 9 = (a + -3) Reorder the terms: 9 + a + -6a = (a + -3) Combine like terms: a + -6a = -5a 9 + -5a = (a + -3) Reorder the terms: 9 + -5a = (-3 + a) Remove parenthesis around (-3 + a) 9 + -5a = -3 + a Solving 9 + -5a = -3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 9 + -5a + -1a = -3 + a + -1a Combine like terms: -5a + -1a = -6a 9 + -6a = -3 + a + -1a Combine like terms: a + -1a = 0 9 + -6a = -3 + 0 9 + -6a = -3 Add '-9' to each side of the equation. 9 + -9 + -6a = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -6a = -3 + -9 -6a = -3 + -9 Combine like terms: -3 + -9 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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