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Simplifying -1(7 + -8a) + -1(17 + 7a) + -5 = -1(5 + -6a) + (-1a) + 4 (7 * -1 + -8a * -1) + -1(17 + 7a) + -5 = -1(5 + -6a) + (-1a) + 4 (-7 + 8a) + -1(17 + 7a) + -5 = -1(5 + -6a) + (-1a) + 4 -7 + 8a + (17 * -1 + 7a * -1) + -5 = -1(5 + -6a) + (-1a) + 4 -7 + 8a + (-17 + -7a) + -5 = -1(5 + -6a) + (-1a) + 4 Reorder the terms: -7 + -17 + -5 + 8a + -7a = -1(5 + -6a) + (-1a) + 4 Combine like terms: -7 + -17 = -24 -24 + -5 + 8a + -7a = -1(5 + -6a) + (-1a) + 4 Combine like terms: -24 + -5 = -29 -29 + 8a + -7a = -1(5 + -6a) + (-1a) + 4 Combine like terms: 8a + -7a = 1a -29 + 1a = -1(5 + -6a) + (-1a) + 4 -29 + 1a = (5 * -1 + -6a * -1) + (-1a) + 4 -29 + 1a = (-5 + 6a) + (-1a) + 4 Reorder the terms: -29 + 1a = -5 + 4 + 6a + (-1a) Combine like terms: -5 + 4 = -1 -29 + 1a = -1 + 6a + (-1a) Combine like terms: 6a + (-1a) = 5a -29 + 1a = -1 + 5a Solving -29 + 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. -29 + 1a + -5a = -1 + 5a + -5a Combine like terms: 1a + -5a = -4a -29 + -4a = -1 + 5a + -5a Combine like terms: 5a + -5a = 0 -29 + -4a = -1 + 0 -29 + -4a = -1 Add '29' to each side of the equation. -29 + 29 + -4a = -1 + 29 Combine like terms: -29 + 29 = 0 0 + -4a = -1 + 29 -4a = -1 + 29 Combine like terms: -1 + 29 = 28 -4a = 28 Divide each side by '-4'. a = -7 Simplifying a = -7
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