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Simplifying -1(6 + -6a) + -1(7 + 5a) + -23 = -1(8 + -7a) + (-1a) + 7 (6 * -1 + -6a * -1) + -1(7 + 5a) + -23 = -1(8 + -7a) + (-1a) + 7 (-6 + 6a) + -1(7 + 5a) + -23 = -1(8 + -7a) + (-1a) + 7 -6 + 6a + (7 * -1 + 5a * -1) + -23 = -1(8 + -7a) + (-1a) + 7 -6 + 6a + (-7 + -5a) + -23 = -1(8 + -7a) + (-1a) + 7 Reorder the terms: -6 + -7 + -23 + 6a + -5a = -1(8 + -7a) + (-1a) + 7 Combine like terms: -6 + -7 = -13 -13 + -23 + 6a + -5a = -1(8 + -7a) + (-1a) + 7 Combine like terms: -13 + -23 = -36 -36 + 6a + -5a = -1(8 + -7a) + (-1a) + 7 Combine like terms: 6a + -5a = 1a -36 + 1a = -1(8 + -7a) + (-1a) + 7 -36 + 1a = (8 * -1 + -7a * -1) + (-1a) + 7 -36 + 1a = (-8 + 7a) + (-1a) + 7 Reorder the terms: -36 + 1a = -8 + 7 + 7a + (-1a) Combine like terms: -8 + 7 = -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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