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Simplifying 4a + -3[a + -1(2a + 1)] = 0 Reorder the terms: 4a + -3[a + -1(1 + 2a)] = 0 4a + -3[a + (1 * -1 + 2a * -1)] = 0 4a + -3[a + (-1 + -2a)] = 0 Reorder the terms: 4a + -3[-1 + a + -2a] = 0 Combine like terms: a + -2a = -1a 4a + -3[-1 + -1a] = 0 4a + [-1 * -3 + -1a * -3] = 0 4a + [3 + 3a] = 0 Reorder the terms: 3 + 4a + 3a = 0 Combine like terms: 4a + 3a = 7a 3 + 7a = 0 Solving 3 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7a = 0 + -3 7a = 0 + -3 Combine like terms: 0 + -3 = -3 7a = -3 Divide each side by '7'. a = -0.4285714286 Simplifying a = -0.4285714286
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