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Simplifying -1(9 + -5a) + -1(17 + 4a) + -10 = -1(2 + -7a) + (-1a) + 1 (9 * -1 + -5a * -1) + -1(17 + 4a) + -10 = -1(2 + -7a) + (-1a) + 1 (-9 + 5a) + -1(17 + 4a) + -10 = -1(2 + -7a) + (-1a) + 1 -9 + 5a + (17 * -1 + 4a * -1) + -10 = -1(2 + -7a) + (-1a) + 1 -9 + 5a + (-17 + -4a) + -10 = -1(2 + -7a) + (-1a) + 1 Reorder the terms: -9 + -17 + -10 + 5a + -4a = -1(2 + -7a) + (-1a) + 1 Combine like terms: -9 + -17 = -26 -26 + -10 + 5a + -4a = -1(2 + -7a) + (-1a) + 1 Combine like terms: -26 + -10 = -36 -36 + 5a + -4a = -1(2 + -7a) + (-1a) + 1 Combine like terms: 5a + -4a = 1a -36 + 1a = -1(2 + -7a) + (-1a) + 1 -36 + 1a = (2 * -1 + -7a * -1) + (-1a) + 1 -36 + 1a = (-2 + 7a) + (-1a) + 1 Reorder the terms: -36 + 1a = -2 + 1 + 7a + (-1a) Combine like terms: -2 + 1 = -1 -36 + 1a = -1 + 7a + (-1a) Combine like terms: 7a + (-1a) = 6a -36 + 1a = -1 + 6a Solving -36 + 1a = -1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -36 + 1a + -6a = -1 + 6a + -6a Combine like terms: 1a + -6a = -5a -36 + -5a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 -36 + -5a = -1 + 0 -36 + -5a = -1 Add '36' to each side of the equation. -36 + 36 + -5a = -1 + 36 Combine like terms: -36 + 36 = 0 0 + -5a = -1 + 36 -5a = -1 + 36 Combine like terms: -1 + 36 = 35 -5a = 35 Divide each side by '-5'. a = -7 Simplifying a = -7
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