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Simplifying -1(8 + -5a) + -1(9 + 4a) + -16 = -1(5 + -6a) + (-1a) + 4 (8 * -1 + -5a * -1) + -1(9 + 4a) + -16 = -1(5 + -6a) + (-1a) + 4 (-8 + 5a) + -1(9 + 4a) + -16 = -1(5 + -6a) + (-1a) + 4 -8 + 5a + (9 * -1 + 4a * -1) + -16 = -1(5 + -6a) + (-1a) + 4 -8 + 5a + (-9 + -4a) + -16 = -1(5 + -6a) + (-1a) + 4 Reorder the terms: -8 + -9 + -16 + 5a + -4a = -1(5 + -6a) + (-1a) + 4 Combine like terms: -8 + -9 = -17 -17 + -16 + 5a + -4a = -1(5 + -6a) + (-1a) + 4 Combine like terms: -17 + -16 = -33 -33 + 5a + -4a = -1(5 + -6a) + (-1a) + 4 Combine like terms: 5a + -4a = 1a -33 + 1a = -1(5 + -6a) + (-1a) + 4 -33 + 1a = (5 * -1 + -6a * -1) + (-1a) + 4 -33 + 1a = (-5 + 6a) + (-1a) + 4 Reorder the terms: -33 + 1a = -5 + 4 + 6a + (-1a) Combine like terms: -5 + 4 = -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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