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Simplifying 5a + 3(2a + -6) + -9 = 0 Reorder the terms: 5a + 3(-6 + 2a) + -9 = 0 5a + (-6 * 3 + 2a * 3) + -9 = 0 5a + (-18 + 6a) + -9 = 0 Reorder the terms: -18 + -9 + 5a + 6a = 0 Combine like terms: -18 + -9 = -27 -27 + 5a + 6a = 0 Combine like terms: 5a + 6a = 11a -27 + 11a = 0 Solving -27 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 11a = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 11a = 0 + 27 11a = 0 + 27 Combine like terms: 0 + 27 = 27 11a = 27 Divide each side by '11'. a = 2.454545455 Simplifying a = 2.454545455
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