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Simplifying 9(a + 4) + -2a = 19 + -3(a + 6) Reorder the terms: 9(4 + a) + -2a = 19 + -3(a + 6) (4 * 9 + a * 9) + -2a = 19 + -3(a + 6) (36 + 9a) + -2a = 19 + -3(a + 6) Combine like terms: 9a + -2a = 7a 36 + 7a = 19 + -3(a + 6) Reorder the terms: 36 + 7a = 19 + -3(6 + a) 36 + 7a = 19 + (6 * -3 + a * -3) 36 + 7a = 19 + (-18 + -3a) Combine like terms: 19 + -18 = 1 36 + 7a = 1 + -3a Solving 36 + 7a = 1 + -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. 36 + 7a + 3a = 1 + -3a + 3a Combine like terms: 7a + 3a = 10a 36 + 10a = 1 + -3a + 3a Combine like terms: -3a + 3a = 0 36 + 10a = 1 + 0 36 + 10a = 1 Add '-36' to each side of the equation. 36 + -36 + 10a = 1 + -36 Combine like terms: 36 + -36 = 0 0 + 10a = 1 + -36 10a = 1 + -36 Combine like terms: 1 + -36 = -35 10a = -35 Divide each side by '10'. a = -3.5 Simplifying a = -3.5
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