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Simplifying (9 + -4a) + -1(4 + 3a) + -9 = -1(6 + -5a) + (-1a) + 5 Remove parenthesis around (9 + -4a) 9 + -4a + -1(4 + 3a) + -9 = -1(6 + -5a) + (-1a) + 5 9 + -4a + (4 * -1 + 3a * -1) + -9 = -1(6 + -5a) + (-1a) + 5 9 + -4a + (-4 + -3a) + -9 = -1(6 + -5a) + (-1a) + 5 Reorder the terms: 9 + -4 + -9 + -4a + -3a = -1(6 + -5a) + (-1a) + 5 Combine like terms: 9 + -4 = 5 5 + -9 + -4a + -3a = -1(6 + -5a) + (-1a) + 5 Combine like terms: 5 + -9 = -4 -4 + -4a + -3a = -1(6 + -5a) + (-1a) + 5 Combine like terms: -4a + -3a = -7a -4 + -7a = -1(6 + -5a) + (-1a) + 5 -4 + -7a = (6 * -1 + -5a * -1) + (-1a) + 5 -4 + -7a = (-6 + 5a) + (-1a) + 5 Reorder the terms: -4 + -7a = -6 + 5 + 5a + (-1a) Combine like terms: -6 + 5 = -1 -4 + -7a = -1 + 5a + (-1a) Combine like terms: 5a + (-1a) = 4a -4 + -7a = -1 + 4a Solving -4 + -7a = -1 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -4 + -7a + -4a = -1 + 4a + -4a Combine like terms: -7a + -4a = -11a -4 + -11a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -4 + -11a = -1 + 0 -4 + -11a = -1 Add '4' to each side of the equation. -4 + 4 + -11a = -1 + 4 Combine like terms: -4 + 4 = 0 0 + -11a = -1 + 4 -11a = -1 + 4 Combine like terms: -1 + 4 = 3 -11a = 3 Divide each side by '-11'. a = -0.2727272727 Simplifying a = -0.2727272727
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