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Simplifying 6a + -3(2a + -3) + 9(3 + -1a) = 12 Reorder the terms: 6a + -3(-3 + 2a) + 9(3 + -1a) = 12 6a + (-3 * -3 + 2a * -3) + 9(3 + -1a) = 12 6a + (9 + -6a) + 9(3 + -1a) = 12 6a + 9 + -6a + (3 * 9 + -1a * 9) = 12 6a + 9 + -6a + (27 + -9a) = 12 Reorder the terms: 9 + 27 + 6a + -6a + -9a = 12 Combine like terms: 9 + 27 = 36 36 + 6a + -6a + -9a = 12 Combine like terms: 6a + -6a = 0 36 + 0 + -9a = 12 36 + -9a = 12 Solving 36 + -9a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -9a = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -9a = 12 + -36 -9a = 12 + -36 Combine like terms: 12 + -36 = -24 -9a = -24 Divide each side by '-9'. a = 2.666666667 Simplifying a = 2.666666667
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