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Simplifying -1(8 + -9a) + -1(5 + 8a) + -9 = -1(4 + -5a) + (-1a) + 3 (8 * -1 + -9a * -1) + -1(5 + 8a) + -9 = -1(4 + -5a) + (-1a) + 3 (-8 + 9a) + -1(5 + 8a) + -9 = -1(4 + -5a) + (-1a) + 3 -8 + 9a + (5 * -1 + 8a * -1) + -9 = -1(4 + -5a) + (-1a) + 3 -8 + 9a + (-5 + -8a) + -9 = -1(4 + -5a) + (-1a) + 3 Reorder the terms: -8 + -5 + -9 + 9a + -8a = -1(4 + -5a) + (-1a) + 3 Combine like terms: -8 + -5 = -13 -13 + -9 + 9a + -8a = -1(4 + -5a) + (-1a) + 3 Combine like terms: -13 + -9 = -22 -22 + 9a + -8a = -1(4 + -5a) + (-1a) + 3 Combine like terms: 9a + -8a = 1a -22 + 1a = -1(4 + -5a) + (-1a) + 3 -22 + 1a = (4 * -1 + -5a * -1) + (-1a) + 3 -22 + 1a = (-4 + 5a) + (-1a) + 3 Reorder the terms: -22 + 1a = -4 + 3 + 5a + (-1a) Combine like terms: -4 + 3 = -1 -22 + 1a = -1 + 5a + (-1a) Combine like terms: 5a + (-1a) = 4a -22 + 1a = -1 + 4a Solving -22 + 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. -22 + 1a + -4a = -1 + 4a + -4a Combine like terms: 1a + -4a = -3a -22 + -3a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -22 + -3a = -1 + 0 -22 + -3a = -1 Add '22' to each side of the equation. -22 + 22 + -3a = -1 + 22 Combine like terms: -22 + 22 = 0 0 + -3a = -1 + 22 -3a = -1 + 22 Combine like terms: -1 + 22 = 21 -3a = 21 Divide each side by '-3'. a = -7 Simplifying a = -7
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