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Simplifying -1(9 + -9a) + -1(12 + 8a) + -7 = -1(7 + -5a) + (-1a) + 6 (9 * -1 + -9a * -1) + -1(12 + 8a) + -7 = -1(7 + -5a) + (-1a) + 6 (-9 + 9a) + -1(12 + 8a) + -7 = -1(7 + -5a) + (-1a) + 6 -9 + 9a + (12 * -1 + 8a * -1) + -7 = -1(7 + -5a) + (-1a) + 6 -9 + 9a + (-12 + -8a) + -7 = -1(7 + -5a) + (-1a) + 6 Reorder the terms: -9 + -12 + -7 + 9a + -8a = -1(7 + -5a) + (-1a) + 6 Combine like terms: -9 + -12 = -21 -21 + -7 + 9a + -8a = -1(7 + -5a) + (-1a) + 6 Combine like terms: -21 + -7 = -28 -28 + 9a + -8a = -1(7 + -5a) + (-1a) + 6 Combine like terms: 9a + -8a = 1a -28 + 1a = -1(7 + -5a) + (-1a) + 6 -28 + 1a = (7 * -1 + -5a * -1) + (-1a) + 6 -28 + 1a = (-7 + 5a) + (-1a) + 6 Reorder the terms: -28 + 1a = -7 + 6 + 5a + (-1a) Combine like terms: -7 + 6 = -1 -28 + 1a = -1 + 5a + (-1a) Combine like terms: 5a + (-1a) = 4a -28 + 1a = -1 + 4a Solving -28 + 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. -28 + 1a + -4a = -1 + 4a + -4a Combine like terms: 1a + -4a = -3a -28 + -3a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -28 + -3a = -1 + 0 -28 + -3a = -1 Add '28' to each side of the equation. -28 + 28 + -3a = -1 + 28 Combine like terms: -28 + 28 = 0 0 + -3a = -1 + 28 -3a = -1 + 28 Combine like terms: -1 + 28 = 27 -3a = 27 Divide each side by '-3'. a = -9 Simplifying a = -9
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