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Simplifying -1(7 + -9a) + -1(11 + 8a) + -19 = -1(5 + -6a) + (-1a) + 4 (7 * -1 + -9a * -1) + -1(11 + 8a) + -19 = -1(5 + -6a) + (-1a) + 4 (-7 + 9a) + -1(11 + 8a) + -19 = -1(5 + -6a) + (-1a) + 4 -7 + 9a + (11 * -1 + 8a * -1) + -19 = -1(5 + -6a) + (-1a) + 4 -7 + 9a + (-11 + -8a) + -19 = -1(5 + -6a) + (-1a) + 4 Reorder the terms: -7 + -11 + -19 + 9a + -8a = -1(5 + -6a) + (-1a) + 4 Combine like terms: -7 + -11 = -18 -18 + -19 + 9a + -8a = -1(5 + -6a) + (-1a) + 4 Combine like terms: -18 + -19 = -37 -37 + 9a + -8a = -1(5 + -6a) + (-1a) + 4 Combine like terms: 9a + -8a = 1a -37 + 1a = -1(5 + -6a) + (-1a) + 4 -37 + 1a = (5 * -1 + -6a * -1) + (-1a) + 4 -37 + 1a = (-5 + 6a) + (-1a) + 4 Reorder the terms: -37 + 1a = -5 + 4 + 6a + (-1a) Combine like terms: -5 + 4 = -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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