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Simplifying 4(2a + 4) + 3(a + -2) = 0 Reorder the terms: 4(4 + 2a) + 3(a + -2) = 0 (4 * 4 + 2a * 4) + 3(a + -2) = 0 (16 + 8a) + 3(a + -2) = 0 Reorder the terms: 16 + 8a + 3(-2 + a) = 0 16 + 8a + (-2 * 3 + a * 3) = 0 16 + 8a + (-6 + 3a) = 0 Reorder the terms: 16 + -6 + 8a + 3a = 0 Combine like terms: 16 + -6 = 10 10 + 8a + 3a = 0 Combine like terms: 8a + 3a = 11a 10 + 11a = 0 Solving 10 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11a = 0 + -10 11a = 0 + -10 Combine like terms: 0 + -10 = -10 11a = -10 Divide each side by '11'. a = -0.9090909091 Simplifying a = -0.9090909091
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