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Simplifying -1(9 + -5a) + -1(7 + 4a) + -25 = -1(8 + -7a) + (-1a) + 7 (9 * -1 + -5a * -1) + -1(7 + 4a) + -25 = -1(8 + -7a) + (-1a) + 7 (-9 + 5a) + -1(7 + 4a) + -25 = -1(8 + -7a) + (-1a) + 7 -9 + 5a + (7 * -1 + 4a * -1) + -25 = -1(8 + -7a) + (-1a) + 7 -9 + 5a + (-7 + -4a) + -25 = -1(8 + -7a) + (-1a) + 7 Reorder the terms: -9 + -7 + -25 + 5a + -4a = -1(8 + -7a) + (-1a) + 7 Combine like terms: -9 + -7 = -16 -16 + -25 + 5a + -4a = -1(8 + -7a) + (-1a) + 7 Combine like terms: -16 + -25 = -41 -41 + 5a + -4a = -1(8 + -7a) + (-1a) + 7 Combine like terms: 5a + -4a = 1a -41 + 1a = -1(8 + -7a) + (-1a) + 7 -41 + 1a = (8 * -1 + -7a * -1) + (-1a) + 7 -41 + 1a = (-8 + 7a) + (-1a) + 7 Reorder the terms: -41 + 1a = -8 + 7 + 7a + (-1a) Combine like terms: -8 + 7 = -1 -41 + 1a = -1 + 7a + (-1a) Combine like terms: 7a + (-1a) = 6a -41 + 1a = -1 + 6a Solving -41 + 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. -41 + 1a + -6a = -1 + 6a + -6a Combine like terms: 1a + -6a = -5a -41 + -5a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 -41 + -5a = -1 + 0 -41 + -5a = -1 Add '41' to each side of the equation. -41 + 41 + -5a = -1 + 41 Combine like terms: -41 + 41 = 0 0 + -5a = -1 + 41 -5a = -1 + 41 Combine like terms: -1 + 41 = 40 -5a = 40 Divide each side by '-5'. a = -8 Simplifying a = -8
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