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Simplifying -1(7 + -6a) + -1(7 + 5a) + -8 = -1(3 + -5a) + (-1a) + 2 (7 * -1 + -6a * -1) + -1(7 + 5a) + -8 = -1(3 + -5a) + (-1a) + 2 (-7 + 6a) + -1(7 + 5a) + -8 = -1(3 + -5a) + (-1a) + 2 -7 + 6a + (7 * -1 + 5a * -1) + -8 = -1(3 + -5a) + (-1a) + 2 -7 + 6a + (-7 + -5a) + -8 = -1(3 + -5a) + (-1a) + 2 Reorder the terms: -7 + -7 + -8 + 6a + -5a = -1(3 + -5a) + (-1a) + 2 Combine like terms: -7 + -7 = -14 -14 + -8 + 6a + -5a = -1(3 + -5a) + (-1a) + 2 Combine like terms: -14 + -8 = -22 -22 + 6a + -5a = -1(3 + -5a) + (-1a) + 2 Combine like terms: 6a + -5a = 1a -22 + 1a = -1(3 + -5a) + (-1a) + 2 -22 + 1a = (3 * -1 + -5a * -1) + (-1a) + 2 -22 + 1a = (-3 + 5a) + (-1a) + 2 Reorder the terms: -22 + 1a = -3 + 2 + 5a + (-1a) Combine like terms: -3 + 2 = -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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