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Simplifying 8a + 3(2a + -1) + 6(4 + -2a) = 0 Reorder the terms: 8a + 3(-1 + 2a) + 6(4 + -2a) = 0 8a + (-1 * 3 + 2a * 3) + 6(4 + -2a) = 0 8a + (-3 + 6a) + 6(4 + -2a) = 0 8a + -3 + 6a + (4 * 6 + -2a * 6) = 0 8a + -3 + 6a + (24 + -12a) = 0 Reorder the terms: -3 + 24 + 8a + 6a + -12a = 0 Combine like terms: -3 + 24 = 21 21 + 8a + 6a + -12a = 0 Combine like terms: 8a + 6a = 14a 21 + 14a + -12a = 0 Combine like terms: 14a + -12a = 2a 21 + 2a = 0 Solving 21 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2a = 0 + -21 2a = 0 + -21 Combine like terms: 0 + -21 = -21 2a = -21 Divide each side by '2'. a = -10.5 Simplifying a = -10.5
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