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Simplifying -1(6a + 8) + -3(a + -9) = 0 Reorder the terms: -1(8 + 6a) + -3(a + -9) = 0 (8 * -1 + 6a * -1) + -3(a + -9) = 0 (-8 + -6a) + -3(a + -9) = 0 Reorder the terms: -8 + -6a + -3(-9 + a) = 0 -8 + -6a + (-9 * -3 + a * -3) = 0 -8 + -6a + (27 + -3a) = 0 Reorder the terms: -8 + 27 + -6a + -3a = 0 Combine like terms: -8 + 27 = 19 19 + -6a + -3a = 0 Combine like terms: -6a + -3a = -9a 19 + -9a = 0 Solving 19 + -9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -9a = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -9a = 0 + -19 -9a = 0 + -19 Combine like terms: 0 + -19 = -19 -9a = -19 Divide each side by '-9'. a = 2.111111111 Simplifying a = 2.111111111
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