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Simplifying 9 + 6a + -1(5a + 2) + -1(3a + 8) = 0 Reorder the terms: 9 + 6a + -1(2 + 5a) + -1(3a + 8) = 0 9 + 6a + (2 * -1 + 5a * -1) + -1(3a + 8) = 0 9 + 6a + (-2 + -5a) + -1(3a + 8) = 0 Reorder the terms: 9 + 6a + -2 + -5a + -1(8 + 3a) = 0 9 + 6a + -2 + -5a + (8 * -1 + 3a * -1) = 0 9 + 6a + -2 + -5a + (-8 + -3a) = 0 Reorder the terms: 9 + -2 + -8 + 6a + -5a + -3a = 0 Combine like terms: 9 + -2 = 7 7 + -8 + 6a + -5a + -3a = 0 Combine like terms: 7 + -8 = -1 -1 + 6a + -5a + -3a = 0 Combine like terms: 6a + -5a = 1a -1 + 1a + -3a = 0 Combine like terms: 1a + -3a = -2a -1 + -2a = 0 Solving -1 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2a = 0 + 1 -2a = 0 + 1 Combine like terms: 0 + 1 = 1 -2a = 1 Divide each side by '-2'. a = -0.5 Simplifying a = -0.5
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