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Simplifying -1(8 + -7a) + -1(5 + 6a) + -12 = -1(8 + -5a) + (-1a) + 7 (8 * -1 + -7a * -1) + -1(5 + 6a) + -12 = -1(8 + -5a) + (-1a) + 7 (-8 + 7a) + -1(5 + 6a) + -12 = -1(8 + -5a) + (-1a) + 7 -8 + 7a + (5 * -1 + 6a * -1) + -12 = -1(8 + -5a) + (-1a) + 7 -8 + 7a + (-5 + -6a) + -12 = -1(8 + -5a) + (-1a) + 7 Reorder the terms: -8 + -5 + -12 + 7a + -6a = -1(8 + -5a) + (-1a) + 7 Combine like terms: -8 + -5 = -13 -13 + -12 + 7a + -6a = -1(8 + -5a) + (-1a) + 7 Combine like terms: -13 + -12 = -25 -25 + 7a + -6a = -1(8 + -5a) + (-1a) + 7 Combine like terms: 7a + -6a = 1a -25 + 1a = -1(8 + -5a) + (-1a) + 7 -25 + 1a = (8 * -1 + -5a * -1) + (-1a) + 7 -25 + 1a = (-8 + 5a) + (-1a) + 7 Reorder the terms: -25 + 1a = -8 + 7 + 5a + (-1a) Combine like terms: -8 + 7 = -1 -25 + 1a = -1 + 5a + (-1a) Combine like terms: 5a + (-1a) = 4a -25 + 1a = -1 + 4a Solving -25 + 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. -25 + 1a + -4a = -1 + 4a + -4a Combine like terms: 1a + -4a = -3a -25 + -3a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -25 + -3a = -1 + 0 -25 + -3a = -1 Add '25' to each side of the equation. -25 + 25 + -3a = -1 + 25 Combine like terms: -25 + 25 = 0 0 + -3a = -1 + 25 -3a = -1 + 25 Combine like terms: -1 + 25 = 24 -3a = 24 Divide each side by '-3'. a = -8 Simplifying a = -8
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