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Simplifying -1(6 + -6a) + -1(7 + 5a) + -20 = -1(3 + -6a) + (-1a) + 2 (6 * -1 + -6a * -1) + -1(7 + 5a) + -20 = -1(3 + -6a) + (-1a) + 2 (-6 + 6a) + -1(7 + 5a) + -20 = -1(3 + -6a) + (-1a) + 2 -6 + 6a + (7 * -1 + 5a * -1) + -20 = -1(3 + -6a) + (-1a) + 2 -6 + 6a + (-7 + -5a) + -20 = -1(3 + -6a) + (-1a) + 2 Reorder the terms: -6 + -7 + -20 + 6a + -5a = -1(3 + -6a) + (-1a) + 2 Combine like terms: -6 + -7 = -13 -13 + -20 + 6a + -5a = -1(3 + -6a) + (-1a) + 2 Combine like terms: -13 + -20 = -33 -33 + 6a + -5a = -1(3 + -6a) + (-1a) + 2 Combine like terms: 6a + -5a = 1a -33 + 1a = -1(3 + -6a) + (-1a) + 2 -33 + 1a = (3 * -1 + -6a * -1) + (-1a) + 2 -33 + 1a = (-3 + 6a) + (-1a) + 2 Reorder the terms: -33 + 1a = -3 + 2 + 6a + (-1a) Combine like terms: -3 + 2 = -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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