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Simplifying -3(-3a + -8) + a = -6(6 + 4a) + 4a Reorder the terms: -3(-8 + -3a) + a = -6(6 + 4a) + 4a (-8 * -3 + -3a * -3) + a = -6(6 + 4a) + 4a (24 + 9a) + a = -6(6 + 4a) + 4a Combine like terms: 9a + a = 10a 24 + 10a = -6(6 + 4a) + 4a 24 + 10a = (6 * -6 + 4a * -6) + 4a 24 + 10a = (-36 + -24a) + 4a Combine like terms: -24a + 4a = -20a 24 + 10a = -36 + -20a Solving 24 + 10a = -36 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. 24 + 10a + 20a = -36 + -20a + 20a Combine like terms: 10a + 20a = 30a 24 + 30a = -36 + -20a + 20a Combine like terms: -20a + 20a = 0 24 + 30a = -36 + 0 24 + 30a = -36 Add '-24' to each side of the equation. 24 + -24 + 30a = -36 + -24 Combine like terms: 24 + -24 = 0 0 + 30a = -36 + -24 30a = -36 + -24 Combine like terms: -36 + -24 = -60 30a = -60 Divide each side by '30'. a = -2 Simplifying a = -2
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