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Simplifying 8a + -1(2a + -3) + -1(4a + -5) = 0 Reorder the terms: 8a + -1(-3 + 2a) + -1(4a + -5) = 0 8a + (-3 * -1 + 2a * -1) + -1(4a + -5) = 0 8a + (3 + -2a) + -1(4a + -5) = 0 Reorder the terms: 8a + 3 + -2a + -1(-5 + 4a) = 0 8a + 3 + -2a + (-5 * -1 + 4a * -1) = 0 8a + 3 + -2a + (5 + -4a) = 0 Reorder the terms: 3 + 5 + 8a + -2a + -4a = 0 Combine like terms: 3 + 5 = 8 8 + 8a + -2a + -4a = 0 Combine like terms: 8a + -2a = 6a 8 + 6a + -4a = 0 Combine like terms: 6a + -4a = 2a 8 + 2a = 0 Solving 8 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 0 + -8 2a = 0 + -8 Combine like terms: 0 + -8 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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