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