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Simplifying -1(9 + -6a) + -1(18 + 5a) + -6 = -1(8 + -6a) + (-1a) + 7 (9 * -1 + -6a * -1) + -1(18 + 5a) + -6 = -1(8 + -6a) + (-1a) + 7 (-9 + 6a) + -1(18 + 5a) + -6 = -1(8 + -6a) + (-1a) + 7 -9 + 6a + (18 * -1 + 5a * -1) + -6 = -1(8 + -6a) + (-1a) + 7 -9 + 6a + (-18 + -5a) + -6 = -1(8 + -6a) + (-1a) + 7 Reorder the terms: -9 + -18 + -6 + 6a + -5a = -1(8 + -6a) + (-1a) + 7 Combine like terms: -9 + -18 = -27 -27 + -6 + 6a + -5a = -1(8 + -6a) + (-1a) + 7 Combine like terms: -27 + -6 = -33 -33 + 6a + -5a = -1(8 + -6a) + (-1a) + 7 Combine like terms: 6a + -5a = 1a -33 + 1a = -1(8 + -6a) + (-1a) + 7 -33 + 1a = (8 * -1 + -6a * -1) + (-1a) + 7 -33 + 1a = (-8 + 6a) + (-1a) + 7 Reorder the terms: -33 + 1a = -8 + 7 + 6a + (-1a) Combine like terms: -8 + 7 = -1 -33 + 1a = -1 + 6a + (-1a) Combine like terms: 6a + (-1a) = 5a -33 + 1a = -1 + 5a Solving -33 + 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. -33 + 1a + -5a = -1 + 5a + -5a Combine like terms: 1a + -5a = -4a -33 + -4a = -1 + 5a + -5a Combine like terms: 5a + -5a = 0 -33 + -4a = -1 + 0 -33 + -4a = -1 Add '33' to each side of the equation. -33 + 33 + -4a = -1 + 33 Combine like terms: -33 + 33 = 0 0 + -4a = -1 + 33 -4a = -1 + 33 Combine like terms: -1 + 33 = 32 -4a = 32 Divide each side by '-4'. a = -8 Simplifying a = -8
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