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Simplifying 6(3 + -1a) + 9 = 9(3 + -1a) (3 * 6 + -1a * 6) + 9 = 9(3 + -1a) (18 + -6a) + 9 = 9(3 + -1a) Reorder the terms: 18 + 9 + -6a = 9(3 + -1a) Combine like terms: 18 + 9 = 27 27 + -6a = 9(3 + -1a) 27 + -6a = (3 * 9 + -1a * 9) 27 + -6a = (27 + -9a) Add '-27' to each side of the equation. 27 + -27 + -6a = 27 + -27 + -9a Combine like terms: 27 + -27 = 0 0 + -6a = 27 + -27 + -9a -6a = 27 + -27 + -9a Combine like terms: 27 + -27 = 0 -6a = 0 + -9a -6a = -9a Solving -6a = -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -6a + 9a = -9a + 9a Combine like terms: -6a + 9a = 3a 3a = -9a + 9a Combine like terms: -9a + 9a = 0 3a = 0 Divide each side by '3'. a = 0 Simplifying a = 0
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