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Simplifying 3(a + 2) = -2(a + 4) Reorder the terms: 3(2 + a) = -2(a + 4) (2 * 3 + a * 3) = -2(a + 4) (6 + 3a) = -2(a + 4) Reorder the terms: 6 + 3a = -2(4 + a) 6 + 3a = (4 * -2 + a * -2) 6 + 3a = (-8 + -2a) Solving 6 + 3a = -8 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 6 + 3a + 2a = -8 + -2a + 2a Combine like terms: 3a + 2a = 5a 6 + 5a = -8 + -2a + 2a Combine like terms: -2a + 2a = 0 6 + 5a = -8 + 0 6 + 5a = -8 Add '-6' to each side of the equation. 6 + -6 + 5a = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 5a = -8 + -6 5a = -8 + -6 Combine like terms: -8 + -6 = -14 5a = -14 Divide each side by '5'. a = -2.8 Simplifying a = -2.8
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