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Simplifying 3a + -2(4(a + -2b) + -3a) = 0 3a + -2((a * 4 + -2b * 4) + -3a) = 0 3a + -2((4a + -8b) + -3a) = 0 Reorder the terms: 3a + -2(4a + -3a + -8b) = 0 Combine like terms: 4a + -3a = 1a 3a + -2(1a + -8b) = 0 3a + (1a * -2 + -8b * -2) = 0 3a + (-2a + 16b) = 0 Combine like terms: 3a + -2a = 1a 1a + 16b = 0 Solving 1a + 16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16b' to each side of the equation. 1a + 16b + -16b = 0 + -16b Combine like terms: 16b + -16b = 0 1a + 0 = 0 + -16b 1a = 0 + -16b Remove the zero: 1a = -16b Divide each side by '1'. a = -16b Simplifying a = -16b
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