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Simplifying -1(6 + -6a) + -1(21 + 5a) = -1(2 + -6a) + (-1a) + 1 (6 * -1 + -6a * -1) + -1(21 + 5a) = -1(2 + -6a) + (-1a) + 1 (-6 + 6a) + -1(21 + 5a) = -1(2 + -6a) + (-1a) + 1 -6 + 6a + (21 * -1 + 5a * -1) = -1(2 + -6a) + (-1a) + 1 -6 + 6a + (-21 + -5a) = -1(2 + -6a) + (-1a) + 1 Reorder the terms: -6 + -21 + 6a + -5a = -1(2 + -6a) + (-1a) + 1 Combine like terms: -6 + -21 = -27 -27 + 6a + -5a = -1(2 + -6a) + (-1a) + 1 Combine like terms: 6a + -5a = 1a -27 + 1a = -1(2 + -6a) + (-1a) + 1 -27 + 1a = (2 * -1 + -6a * -1) + (-1a) + 1 -27 + 1a = (-2 + 6a) + (-1a) + 1 Reorder the terms: -27 + 1a = -2 + 1 + 6a + (-1a) Combine like terms: -2 + 1 = -1 -27 + 1a = -1 + 6a + (-1a) Combine like terms: 6a + (-1a) = 5a -27 + 1a = -1 + 5a Solving -27 + 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. -27 + 1a + -5a = -1 + 5a + -5a Combine like terms: 1a + -5a = -4a -27 + -4a = -1 + 5a + -5a Combine like terms: 5a + -5a = 0 -27 + -4a = -1 + 0 -27 + -4a = -1 Add '27' to each side of the equation. -27 + 27 + -4a = -1 + 27 Combine like terms: -27 + 27 = 0 0 + -4a = -1 + 27 -4a = -1 + 27 Combine like terms: -1 + 27 = 26 -4a = 26 Divide each side by '-4'. a = -6.5 Simplifying a = -6.5
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