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Simplifying -1(7 + -6a) + -1(5 + 5a) + -16 = -1(2 + -5a) + (-1a) + 1 (7 * -1 + -6a * -1) + -1(5 + 5a) + -16 = -1(2 + -5a) + (-1a) + 1 (-7 + 6a) + -1(5 + 5a) + -16 = -1(2 + -5a) + (-1a) + 1 -7 + 6a + (5 * -1 + 5a * -1) + -16 = -1(2 + -5a) + (-1a) + 1 -7 + 6a + (-5 + -5a) + -16 = -1(2 + -5a) + (-1a) + 1 Reorder the terms: -7 + -5 + -16 + 6a + -5a = -1(2 + -5a) + (-1a) + 1 Combine like terms: -7 + -5 = -12 -12 + -16 + 6a + -5a = -1(2 + -5a) + (-1a) + 1 Combine like terms: -12 + -16 = -28 -28 + 6a + -5a = -1(2 + -5a) + (-1a) + 1 Combine like terms: 6a + -5a = 1a -28 + 1a = -1(2 + -5a) + (-1a) + 1 -28 + 1a = (2 * -1 + -5a * -1) + (-1a) + 1 -28 + 1a = (-2 + 5a) + (-1a) + 1 Reorder the terms: -28 + 1a = -2 + 1 + 5a + (-1a) Combine like terms: -2 + 1 = -1 -28 + 1a = -1 + 5a + (-1a) Combine like terms: 5a + (-1a) = 4a -28 + 1a = -1 + 4a Solving -28 + 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. -28 + 1a + -4a = -1 + 4a + -4a Combine like terms: 1a + -4a = -3a -28 + -3a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -28 + -3a = -1 + 0 -28 + -3a = -1 Add '28' to each side of the equation. -28 + 28 + -3a = -1 + 28 Combine like terms: -28 + 28 = 0 0 + -3a = -1 + 28 -3a = -1 + 28 Combine like terms: -1 + 28 = 27 -3a = 27 Divide each side by '-3'. a = -9 Simplifying a = -9
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