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Simplifying -1(8 + 9a) + -1(13 + 8a) + -1 = -1(7 + -5a) + (-1a) + 6 (8 * -1 + 9a * -1) + -1(13 + 8a) + -1 = -1(7 + -5a) + (-1a) + 6 (-8 + -9a) + -1(13 + 8a) + -1 = -1(7 + -5a) + (-1a) + 6 -8 + -9a + (13 * -1 + 8a * -1) + -1 = -1(7 + -5a) + (-1a) + 6 -8 + -9a + (-13 + -8a) + -1 = -1(7 + -5a) + (-1a) + 6 Reorder the terms: -8 + -13 + -1 + -9a + -8a = -1(7 + -5a) + (-1a) + 6 Combine like terms: -8 + -13 = -21 -21 + -1 + -9a + -8a = -1(7 + -5a) + (-1a) + 6 Combine like terms: -21 + -1 = -22 -22 + -9a + -8a = -1(7 + -5a) + (-1a) + 6 Combine like terms: -9a + -8a = -17a -22 + -17a = -1(7 + -5a) + (-1a) + 6 -22 + -17a = (7 * -1 + -5a * -1) + (-1a) + 6 -22 + -17a = (-7 + 5a) + (-1a) + 6 Reorder the terms: -22 + -17a = -7 + 6 + 5a + (-1a) Combine like terms: -7 + 6 = -1 -22 + -17a = -1 + 5a + (-1a) Combine like terms: 5a + (-1a) = 4a -22 + -17a = -1 + 4a Solving -22 + -17a = -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. -22 + -17a + -4a = -1 + 4a + -4a Combine like terms: -17a + -4a = -21a -22 + -21a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -22 + -21a = -1 + 0 -22 + -21a = -1 Add '22' to each side of the equation. -22 + 22 + -21a = -1 + 22 Combine like terms: -22 + 22 = 0 0 + -21a = -1 + 22 -21a = -1 + 22 Combine like terms: -1 + 22 = 21 -21a = 21 Divide each side by '-21'. a = -1 Simplifying a = -1
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