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