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Simplifying (3a + 4) + (5a + -4) + -1(2a + -6) + -1(7a + 9) = 0 Reorder the terms: (4 + 3a) + (5a + -4) + -1(2a + -6) + -1(7a + 9) = 0 Remove parenthesis around (4 + 3a) 4 + 3a + (5a + -4) + -1(2a + -6) + -1(7a + 9) = 0 Reorder the terms: 4 + 3a + (-4 + 5a) + -1(2a + -6) + -1(7a + 9) = 0 Remove parenthesis around (-4 + 5a) 4 + 3a + -4 + 5a + -1(2a + -6) + -1(7a + 9) = 0 Reorder the terms: 4 + 3a + -4 + 5a + -1(-6 + 2a) + -1(7a + 9) = 0 4 + 3a + -4 + 5a + (-6 * -1 + 2a * -1) + -1(7a + 9) = 0 4 + 3a + -4 + 5a + (6 + -2a) + -1(7a + 9) = 0 Reorder the terms: 4 + 3a + -4 + 5a + 6 + -2a + -1(9 + 7a) = 0 4 + 3a + -4 + 5a + 6 + -2a + (9 * -1 + 7a * -1) = 0 4 + 3a + -4 + 5a + 6 + -2a + (-9 + -7a) = 0 Reorder the terms: 4 + -4 + 6 + -9 + 3a + 5a + -2a + -7a = 0 Combine like terms: 4 + -4 = 0 0 + 6 + -9 + 3a + 5a + -2a + -7a = 0 6 + -9 + 3a + 5a + -2a + -7a = 0 Combine like terms: 6 + -9 = -3 -3 + 3a + 5a + -2a + -7a = 0 Combine like terms: 3a + 5a = 8a -3 + 8a + -2a + -7a = 0 Combine like terms: 8a + -2a = 6a -3 + 6a + -7a = 0 Combine like terms: 6a + -7a = -1a -3 + -1a = 0 Solving -3 + -1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = 0 + 3 -1a = 0 + 3 Combine like terms: 0 + 3 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3
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