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Simplifying -1(8 + -6a) + -1(16 + 5a) + -1 = -1(4 + -5a) + (-1a) + 3 (8 * -1 + -6a * -1) + -1(16 + 5a) + -1 = -1(4 + -5a) + (-1a) + 3 (-8 + 6a) + -1(16 + 5a) + -1 = -1(4 + -5a) + (-1a) + 3 -8 + 6a + (16 * -1 + 5a * -1) + -1 = -1(4 + -5a) + (-1a) + 3 -8 + 6a + (-16 + -5a) + -1 = -1(4 + -5a) + (-1a) + 3 Reorder the terms: -8 + -16 + -1 + 6a + -5a = -1(4 + -5a) + (-1a) + 3 Combine like terms: -8 + -16 = -24 -24 + -1 + 6a + -5a = -1(4 + -5a) + (-1a) + 3 Combine like terms: -24 + -1 = -25 -25 + 6a + -5a = -1(4 + -5a) + (-1a) + 3 Combine like terms: 6a + -5a = 1a -25 + 1a = -1(4 + -5a) + (-1a) + 3 -25 + 1a = (4 * -1 + -5a * -1) + (-1a) + 3 -25 + 1a = (-4 + 5a) + (-1a) + 3 Reorder the terms: -25 + 1a = -4 + 3 + 5a + (-1a) Combine like terms: -4 + 3 = -1 -25 + 1a = -1 + 5a + (-1a) Combine like terms: 5a + (-1a) = 4a -25 + 1a = -1 + 4a Solving -25 + 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. -25 + 1a + -4a = -1 + 4a + -4a Combine like terms: 1a + -4a = -3a -25 + -3a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -25 + -3a = -1 + 0 -25 + -3a = -1 Add '25' to each side of the equation. -25 + 25 + -3a = -1 + 25 Combine like terms: -25 + 25 = 0 0 + -3a = -1 + 25 -3a = -1 + 25 Combine like terms: -1 + 25 = 24 -3a = 24 Divide each side by '-3'. a = -8 Simplifying a = -8
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