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Simplifying -9(-9 + -9a) + -1(12 + 8a) + -7 = -1(7 + -5a) + (-1a) + 6 (-9 * -9 + -9a * -9) + -1(12 + 8a) + -7 = -1(7 + -5a) + (-1a) + 6 (81 + 81a) + -1(12 + 8a) + -7 = -1(7 + -5a) + (-1a) + 6 81 + 81a + (12 * -1 + 8a * -1) + -7 = -1(7 + -5a) + (-1a) + 6 81 + 81a + (-12 + -8a) + -7 = -1(7 + -5a) + (-1a) + 6 Reorder the terms: 81 + -12 + -7 + 81a + -8a = -1(7 + -5a) + (-1a) + 6 Combine like terms: 81 + -12 = 69 69 + -7 + 81a + -8a = -1(7 + -5a) + (-1a) + 6 Combine like terms: 69 + -7 = 62 62 + 81a + -8a = -1(7 + -5a) + (-1a) + 6 Combine like terms: 81a + -8a = 73a 62 + 73a = -1(7 + -5a) + (-1a) + 6 62 + 73a = (7 * -1 + -5a * -1) + (-1a) + 6 62 + 73a = (-7 + 5a) + (-1a) + 6 Reorder the terms: 62 + 73a = -7 + 6 + 5a + (-1a) Combine like terms: -7 + 6 = -1 62 + 73a = -1 + 5a + (-1a) Combine like terms: 5a + (-1a) = 4a 62 + 73a = -1 + 4a Solving 62 + 73a = -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. 62 + 73a + -4a = -1 + 4a + -4a Combine like terms: 73a + -4a = 69a 62 + 69a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 62 + 69a = -1 + 0 62 + 69a = -1 Add '-62' to each side of the equation. 62 + -62 + 69a = -1 + -62 Combine like terms: 62 + -62 = 0 0 + 69a = -1 + -62 69a = -1 + -62 Combine like terms: -1 + -62 = -63 69a = -63 Divide each side by '69'. a = -0.9130434783 Simplifying a = -0.9130434783
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