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Simplifying -1(9 + -4a) + -1(4 + 3a) + -13 = -1(6 + -5a) + (-1a) + 5 (9 * -1 + -4a * -1) + -1(4 + 3a) + -13 = -1(6 + -5a) + (-1a) + 5 (-9 + 4a) + -1(4 + 3a) + -13 = -1(6 + -5a) + (-1a) + 5 -9 + 4a + (4 * -1 + 3a * -1) + -13 = -1(6 + -5a) + (-1a) + 5 -9 + 4a + (-4 + -3a) + -13 = -1(6 + -5a) + (-1a) + 5 Reorder the terms: -9 + -4 + -13 + 4a + -3a = -1(6 + -5a) + (-1a) + 5 Combine like terms: -9 + -4 = -13 -13 + -13 + 4a + -3a = -1(6 + -5a) + (-1a) + 5 Combine like terms: -13 + -13 = -26 -26 + 4a + -3a = -1(6 + -5a) + (-1a) + 5 Combine like terms: 4a + -3a = 1a -26 + 1a = -1(6 + -5a) + (-1a) + 5 -26 + 1a = (6 * -1 + -5a * -1) + (-1a) + 5 -26 + 1a = (-6 + 5a) + (-1a) + 5 Reorder the terms: -26 + 1a = -6 + 5 + 5a + (-1a) Combine like terms: -6 + 5 = -1 -26 + 1a = -1 + 5a + (-1a) Combine like terms: 5a + (-1a) = 4a -26 + 1a = -1 + 4a Solving -26 + 1a = -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. -26 + 1a + -4a = -1 + 4a + -4a Combine like terms: 1a + -4a = -3a -26 + -3a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -26 + -3a = -1 + 0 -26 + -3a = -1 Add '26' to each side of the equation. -26 + 26 + -3a = -1 + 26 Combine like terms: -26 + 26 = 0 0 + -3a = -1 + 26 -3a = -1 + 26 Combine like terms: -1 + 26 = 25 -3a = 25 Divide each side by '-3'. a = -8.333333333 Simplifying a = -8.333333333
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