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Simplifying -1(8 + -7a) + -1(9 + 6a) + -20 = -1(7 + -6a) + (-1a) + 6 (8 * -1 + -7a * -1) + -1(9 + 6a) + -20 = -1(7 + -6a) + (-1a) + 6 (-8 + 7a) + -1(9 + 6a) + -20 = -1(7 + -6a) + (-1a) + 6 -8 + 7a + (9 * -1 + 6a * -1) + -20 = -1(7 + -6a) + (-1a) + 6 -8 + 7a + (-9 + -6a) + -20 = -1(7 + -6a) + (-1a) + 6 Reorder the terms: -8 + -9 + -20 + 7a + -6a = -1(7 + -6a) + (-1a) + 6 Combine like terms: -8 + -9 = -17 -17 + -20 + 7a + -6a = -1(7 + -6a) + (-1a) + 6 Combine like terms: -17 + -20 = -37 -37 + 7a + -6a = -1(7 + -6a) + (-1a) + 6 Combine like terms: 7a + -6a = 1a -37 + 1a = -1(7 + -6a) + (-1a) + 6 -37 + 1a = (7 * -1 + -6a * -1) + (-1a) + 6 -37 + 1a = (-7 + 6a) + (-1a) + 6 Reorder the terms: -37 + 1a = -7 + 6 + 6a + (-1a) Combine like terms: -7 + 6 = -1 -37 + 1a = -1 + 6a + (-1a) Combine like terms: 6a + (-1a) = 5a -37 + 1a = -1 + 5a Solving -37 + 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. -37 + 1a + -5a = -1 + 5a + -5a Combine like terms: 1a + -5a = -4a -37 + -4a = -1 + 5a + -5a Combine like terms: 5a + -5a = 0 -37 + -4a = -1 + 0 -37 + -4a = -1 Add '37' to each side of the equation. -37 + 37 + -4a = -1 + 37 Combine like terms: -37 + 37 = 0 0 + -4a = -1 + 37 -4a = -1 + 37 Combine like terms: -1 + 37 = 36 -4a = 36 Divide each side by '-4'. a = -9 Simplifying a = -9
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