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Simplifying -1(9 + -5a) + -1(12 + 4a) + -8 = -1(2 + -6a) + (-1a) + 1 (9 * -1 + -5a * -1) + -1(12 + 4a) + -8 = -1(2 + -6a) + (-1a) + 1 (-9 + 5a) + -1(12 + 4a) + -8 = -1(2 + -6a) + (-1a) + 1 -9 + 5a + (12 * -1 + 4a * -1) + -8 = -1(2 + -6a) + (-1a) + 1 -9 + 5a + (-12 + -4a) + -8 = -1(2 + -6a) + (-1a) + 1 Reorder the terms: -9 + -12 + -8 + 5a + -4a = -1(2 + -6a) + (-1a) + 1 Combine like terms: -9 + -12 = -21 -21 + -8 + 5a + -4a = -1(2 + -6a) + (-1a) + 1 Combine like terms: -21 + -8 = -29 -29 + 5a + -4a = -1(2 + -6a) + (-1a) + 1 Combine like terms: 5a + -4a = 1a -29 + 1a = -1(2 + -6a) + (-1a) + 1 -29 + 1a = (2 * -1 + -6a * -1) + (-1a) + 1 -29 + 1a = (-2 + 6a) + (-1a) + 1 Reorder the terms: -29 + 1a = -2 + 1 + 6a + (-1a) Combine like terms: -2 + 1 = -1 -29 + 1a = -1 + 6a + (-1a) Combine like terms: 6a + (-1a) = 5a -29 + 1a = -1 + 5a Solving -29 + 1a = -1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -29 + 1a + -5a = -1 + 5a + -5a Combine like terms: 1a + -5a = -4a -29 + -4a = -1 + 5a + -5a Combine like terms: 5a + -5a = 0 -29 + -4a = -1 + 0 -29 + -4a = -1 Add '29' to each side of the equation. -29 + 29 + -4a = -1 + 29 Combine like terms: -29 + 29 = 0 0 + -4a = -1 + 29 -4a = -1 + 29 Combine like terms: -1 + 29 = 28 -4a = 28 Divide each side by '-4'. a = -7 Simplifying a = -7
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