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Simplifying -1(7 + -8a) + -1(16 + 7a) + -13 = (7 + -7a) + (-1a) + 6 (7 * -1 + -8a * -1) + -1(16 + 7a) + -13 = (7 + -7a) + (-1a) + 6 (-7 + 8a) + -1(16 + 7a) + -13 = (7 + -7a) + (-1a) + 6 -7 + 8a + (16 * -1 + 7a * -1) + -13 = (7 + -7a) + (-1a) + 6 -7 + 8a + (-16 + -7a) + -13 = (7 + -7a) + (-1a) + 6 Reorder the terms: -7 + -16 + -13 + 8a + -7a = (7 + -7a) + (-1a) + 6 Combine like terms: -7 + -16 = -23 -23 + -13 + 8a + -7a = (7 + -7a) + (-1a) + 6 Combine like terms: -23 + -13 = -36 -36 + 8a + -7a = (7 + -7a) + (-1a) + 6 Combine like terms: 8a + -7a = 1a -36 + 1a = (7 + -7a) + (-1a) + 6 Remove parenthesis around (7 + -7a) -36 + 1a = 7 + -7a + (-1a) + 6 Reorder the terms: -36 + 1a = 7 + 6 + -7a + (-1a) Combine like terms: 7 + 6 = 13 -36 + 1a = 13 + -7a + (-1a) Combine like terms: -7a + (-1a) = -8a -36 + 1a = 13 + -8a Solving -36 + 1a = 13 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -36 + 1a + 8a = 13 + -8a + 8a Combine like terms: 1a + 8a = 9a -36 + 9a = 13 + -8a + 8a Combine like terms: -8a + 8a = 0 -36 + 9a = 13 + 0 -36 + 9a = 13 Add '36' to each side of the equation. -36 + 36 + 9a = 13 + 36 Combine like terms: -36 + 36 = 0 0 + 9a = 13 + 36 9a = 13 + 36 Combine like terms: 13 + 36 = 49 9a = 49 Divide each side by '9'. a = 5.444444444 Simplifying a = 5.444444444
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