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Simplifying 9(a + 4) + 5a = -8(a + 6) Reorder the terms: 9(4 + a) + 5a = -8(a + 6) (4 * 9 + a * 9) + 5a = -8(a + 6) (36 + 9a) + 5a = -8(a + 6) Combine like terms: 9a + 5a = 14a 36 + 14a = -8(a + 6) Reorder the terms: 36 + 14a = -8(6 + a) 36 + 14a = (6 * -8 + a * -8) 36 + 14a = (-48 + -8a) Solving 36 + 14a = -48 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 36 + 14a + 8a = -48 + -8a + 8a Combine like terms: 14a + 8a = 22a 36 + 22a = -48 + -8a + 8a Combine like terms: -8a + 8a = 0 36 + 22a = -48 + 0 36 + 22a = -48 Add '-36' to each side of the equation. 36 + -36 + 22a = -48 + -36 Combine like terms: 36 + -36 = 0 0 + 22a = -48 + -36 22a = -48 + -36 Combine like terms: -48 + -36 = -84 22a = -84 Divide each side by '22'. a = -3.818181818 Simplifying a = -3.818181818
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