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Simplifying 9(a + 4) = 12 + -5a Reorder the terms: 9(4 + a) = 12 + -5a (4 * 9 + a * 9) = 12 + -5a (36 + 9a) = 12 + -5a Solving 36 + 9a = 12 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 36 + 9a + 5a = 12 + -5a + 5a Combine like terms: 9a + 5a = 14a 36 + 14a = 12 + -5a + 5a Combine like terms: -5a + 5a = 0 36 + 14a = 12 + 0 36 + 14a = 12 Add '-36' to each side of the equation. 36 + -36 + 14a = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 14a = 12 + -36 14a = 12 + -36 Combine like terms: 12 + -36 = -24 14a = -24 Divide each side by '14'. a = -1.714285714 Simplifying a = -1.714285714
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