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Simplifying -1(3a + 4a + -6) + 2(9a + 3) + 3(-8a) = 0 Reorder the terms: -1(-6 + 3a + 4a) + 2(9a + 3) + 3(-8a) = 0 Combine like terms: 3a + 4a = 7a -1(-6 + 7a) + 2(9a + 3) + 3(-8a) = 0 (-6 * -1 + 7a * -1) + 2(9a + 3) + 3(-8a) = 0 (6 + -7a) + 2(9a + 3) + 3(-8a) = 0 Reorder the terms: 6 + -7a + 2(3 + 9a) + 3(-8a) = 0 6 + -7a + (3 * 2 + 9a * 2) + 3(-8a) = 0 6 + -7a + (6 + 18a) + 3(-8a) = 0 Remove parenthesis around (-8a) 6 + -7a + 6 + 18a + 3 * -8a = 0 Multiply 3 * -8 6 + -7a + 6 + 18a + -24a = 0 Reorder the terms: 6 + 6 + -7a + 18a + -24a = 0 Combine like terms: 6 + 6 = 12 12 + -7a + 18a + -24a = 0 Combine like terms: -7a + 18a = 11a 12 + 11a + -24a = 0 Combine like terms: 11a + -24a = -13a 12 + -13a = 0 Solving 12 + -13a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -13a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -13a = 0 + -12 -13a = 0 + -12 Combine like terms: 0 + -12 = -12 -13a = -12 Divide each side by '-13'. a = 0.9230769231 Simplifying a = 0.9230769231
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