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Simplifying -1(8 + -9a) + -1(12 + 8a) + -17 = (7 + -6a) + (-1a) + 6 (8 * -1 + -9a * -1) + -1(12 + 8a) + -17 = (7 + -6a) + (-1a) + 6 (-8 + 9a) + -1(12 + 8a) + -17 = (7 + -6a) + (-1a) + 6 -8 + 9a + (12 * -1 + 8a * -1) + -17 = (7 + -6a) + (-1a) + 6 -8 + 9a + (-12 + -8a) + -17 = (7 + -6a) + (-1a) + 6 Reorder the terms: -8 + -12 + -17 + 9a + -8a = (7 + -6a) + (-1a) + 6 Combine like terms: -8 + -12 = -20 -20 + -17 + 9a + -8a = (7 + -6a) + (-1a) + 6 Combine like terms: -20 + -17 = -37 -37 + 9a + -8a = (7 + -6a) + (-1a) + 6 Combine like terms: 9a + -8a = 1a -37 + 1a = (7 + -6a) + (-1a) + 6 Remove parenthesis around (7 + -6a) -37 + 1a = 7 + -6a + (-1a) + 6 Reorder the terms: -37 + 1a = 7 + 6 + -6a + (-1a) Combine like terms: 7 + 6 = 13 -37 + 1a = 13 + -6a + (-1a) Combine like terms: -6a + (-1a) = -7a -37 + 1a = 13 + -7a Solving -37 + 1a = 13 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -37 + 1a + 7a = 13 + -7a + 7a Combine like terms: 1a + 7a = 8a -37 + 8a = 13 + -7a + 7a Combine like terms: -7a + 7a = 0 -37 + 8a = 13 + 0 -37 + 8a = 13 Add '37' to each side of the equation. -37 + 37 + 8a = 13 + 37 Combine like terms: -37 + 37 = 0 0 + 8a = 13 + 37 8a = 13 + 37 Combine like terms: 13 + 37 = 50 8a = 50 Divide each side by '8'. a = 6.25 Simplifying a = 6.25
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