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Simplifying 5a + -15 + 9a = 3a + 27 Reorder the terms: -15 + 5a + 9a = 3a + 27 Combine like terms: 5a + 9a = 14a -15 + 14a = 3a + 27 Reorder the terms: -15 + 14a = 27 + 3a Solving -15 + 14a = 27 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -15 + 14a + -3a = 27 + 3a + -3a Combine like terms: 14a + -3a = 11a -15 + 11a = 27 + 3a + -3a Combine like terms: 3a + -3a = 0 -15 + 11a = 27 + 0 -15 + 11a = 27 Add '15' to each side of the equation. -15 + 15 + 11a = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 11a = 27 + 15 11a = 27 + 15 Combine like terms: 27 + 15 = 42 11a = 42 Divide each side by '11'. a = 3.818181818 Simplifying a = 3.818181818
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