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Simplifying -1(7 + -8a) + -1(12 + 7a) + -3 = -1(9 + -5a) + (-1a) + 8 (7 * -1 + -8a * -1) + -1(12 + 7a) + -3 = -1(9 + -5a) + (-1a) + 8 (-7 + 8a) + -1(12 + 7a) + -3 = -1(9 + -5a) + (-1a) + 8 -7 + 8a + (12 * -1 + 7a * -1) + -3 = -1(9 + -5a) + (-1a) + 8 -7 + 8a + (-12 + -7a) + -3 = -1(9 + -5a) + (-1a) + 8 Reorder the terms: -7 + -12 + -3 + 8a + -7a = -1(9 + -5a) + (-1a) + 8 Combine like terms: -7 + -12 = -19 -19 + -3 + 8a + -7a = -1(9 + -5a) + (-1a) + 8 Combine like terms: -19 + -3 = -22 -22 + 8a + -7a = -1(9 + -5a) + (-1a) + 8 Combine like terms: 8a + -7a = 1a -22 + 1a = -1(9 + -5a) + (-1a) + 8 -22 + 1a = (9 * -1 + -5a * -1) + (-1a) + 8 -22 + 1a = (-9 + 5a) + (-1a) + 8 Reorder the terms: -22 + 1a = -9 + 8 + 5a + (-1a) Combine like terms: -9 + 8 = -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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