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