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