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Simplifying 7a + 4a(3 + -1a) + -2a + a(4a + -3) = 0 7a + (3 * 4a + -1a * 4a) + -2a + a(4a + -3) = 0 7a + (12a + -4a2) + -2a + a(4a + -3) = 0 Reorder the terms: 7a + 12a + -4a2 + -2a + a(-3 + 4a) = 0 7a + 12a + -4a2 + -2a + (-3 * a + 4a * a) = 0 7a + 12a + -4a2 + -2a + (-3a + 4a2) = 0 Reorder the terms: 7a + 12a + -2a + -3a + -4a2 + 4a2 = 0 Combine like terms: 7a + 12a = 19a 19a + -2a + -3a + -4a2 + 4a2 = 0 Combine like terms: 19a + -2a = 17a 17a + -3a + -4a2 + 4a2 = 0 Combine like terms: 17a + -3a = 14a 14a + -4a2 + 4a2 = 0 Combine like terms: -4a2 + 4a2 = 0 14a + 0 = 0 14a = 0 Solving 14a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '14'. a = 0 Simplifying a = 0
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