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Simplifying -1(8 + -6a) + -1(32 + 5a) + -1 = -1(4 + -7a) + (-1a) + 3 (8 * -1 + -6a * -1) + -1(32 + 5a) + -1 = -1(4 + -7a) + (-1a) + 3 (-8 + 6a) + -1(32 + 5a) + -1 = -1(4 + -7a) + (-1a) + 3 -8 + 6a + (32 * -1 + 5a * -1) + -1 = -1(4 + -7a) + (-1a) + 3 -8 + 6a + (-32 + -5a) + -1 = -1(4 + -7a) + (-1a) + 3 Reorder the terms: -8 + -32 + -1 + 6a + -5a = -1(4 + -7a) + (-1a) + 3 Combine like terms: -8 + -32 = -40 -40 + -1 + 6a + -5a = -1(4 + -7a) + (-1a) + 3 Combine like terms: -40 + -1 = -41 -41 + 6a + -5a = -1(4 + -7a) + (-1a) + 3 Combine like terms: 6a + -5a = 1a -41 + 1a = -1(4 + -7a) + (-1a) + 3 -41 + 1a = (4 * -1 + -7a * -1) + (-1a) + 3 -41 + 1a = (-4 + 7a) + (-1a) + 3 Reorder the terms: -41 + 1a = -4 + 3 + 7a + (-1a) Combine like terms: -4 + 3 = -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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