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Simplifying 3(2a + 5) + -4a + 9 = -4 + -8a + -2(a + 4) Reorder the terms: 3(5 + 2a) + -4a + 9 = -4 + -8a + -2(a + 4) (5 * 3 + 2a * 3) + -4a + 9 = -4 + -8a + -2(a + 4) (15 + 6a) + -4a + 9 = -4 + -8a + -2(a + 4) Reorder the terms: 15 + 9 + 6a + -4a = -4 + -8a + -2(a + 4) Combine like terms: 15 + 9 = 24 24 + 6a + -4a = -4 + -8a + -2(a + 4) Combine like terms: 6a + -4a = 2a 24 + 2a = -4 + -8a + -2(a + 4) Reorder the terms: 24 + 2a = -4 + -8a + -2(4 + a) 24 + 2a = -4 + -8a + (4 * -2 + a * -2) 24 + 2a = -4 + -8a + (-8 + -2a) Reorder the terms: 24 + 2a = -4 + -8 + -8a + -2a Combine like terms: -4 + -8 = -12 24 + 2a = -12 + -8a + -2a Combine like terms: -8a + -2a = -10a 24 + 2a = -12 + -10a Solving 24 + 2a = -12 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 24 + 2a + 10a = -12 + -10a + 10a Combine like terms: 2a + 10a = 12a 24 + 12a = -12 + -10a + 10a Combine like terms: -10a + 10a = 0 24 + 12a = -12 + 0 24 + 12a = -12 Add '-24' to each side of the equation. 24 + -24 + 12a = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 12a = -12 + -24 12a = -12 + -24 Combine like terms: -12 + -24 = -36 12a = -36 Divide each side by '12'. a = -3 Simplifying a = -3
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