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Simplifying -1(7 + -5a) + -1(2 + 4a) + -16 = -1(3 + -5a) + (-1a) + 2 (7 * -1 + -5a * -1) + -1(2 + 4a) + -16 = -1(3 + -5a) + (-1a) + 2 (-7 + 5a) + -1(2 + 4a) + -16 = -1(3 + -5a) + (-1a) + 2 -7 + 5a + (2 * -1 + 4a * -1) + -16 = -1(3 + -5a) + (-1a) + 2 -7 + 5a + (-2 + -4a) + -16 = -1(3 + -5a) + (-1a) + 2 Reorder the terms: -7 + -2 + -16 + 5a + -4a = -1(3 + -5a) + (-1a) + 2 Combine like terms: -7 + -2 = -9 -9 + -16 + 5a + -4a = -1(3 + -5a) + (-1a) + 2 Combine like terms: -9 + -16 = -25 -25 + 5a + -4a = -1(3 + -5a) + (-1a) + 2 Combine like terms: 5a + -4a = 1a -25 + 1a = -1(3 + -5a) + (-1a) + 2 -25 + 1a = (3 * -1 + -5a * -1) + (-1a) + 2 -25 + 1a = (-3 + 5a) + (-1a) + 2 Reorder the terms: -25 + 1a = -3 + 2 + 5a + (-1a) Combine like terms: -3 + 2 = -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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