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Simplifying (3a + 2) + 2(7a + -6) + -1(4a + 9) = 0 Reorder the terms: (2 + 3a) + 2(7a + -6) + -1(4a + 9) = 0 Remove parenthesis around (2 + 3a) 2 + 3a + 2(7a + -6) + -1(4a + 9) = 0 Reorder the terms: 2 + 3a + 2(-6 + 7a) + -1(4a + 9) = 0 2 + 3a + (-6 * 2 + 7a * 2) + -1(4a + 9) = 0 2 + 3a + (-12 + 14a) + -1(4a + 9) = 0 Reorder the terms: 2 + 3a + -12 + 14a + -1(9 + 4a) = 0 2 + 3a + -12 + 14a + (9 * -1 + 4a * -1) = 0 2 + 3a + -12 + 14a + (-9 + -4a) = 0 Reorder the terms: 2 + -12 + -9 + 3a + 14a + -4a = 0 Combine like terms: 2 + -12 = -10 -10 + -9 + 3a + 14a + -4a = 0 Combine like terms: -10 + -9 = -19 -19 + 3a + 14a + -4a = 0 Combine like terms: 3a + 14a = 17a -19 + 17a + -4a = 0 Combine like terms: 17a + -4a = 13a -19 + 13a = 0 Solving -19 + 13a = 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 + 13a = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 13a = 0 + 19 13a = 0 + 19 Combine like terms: 0 + 19 = 19 13a = 19 Divide each side by '13'. a = 1.461538462 Simplifying a = 1.461538462
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