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Simplifying -1(7 + -9a) + -1(11 + 8a) + -7 = -8(-5a) + (-1a) + 7 (7 * -1 + -9a * -1) + -1(11 + 8a) + -7 = -8(-5a) + (-1a) + 7 (-7 + 9a) + -1(11 + 8a) + -7 = -8(-5a) + (-1a) + 7 -7 + 9a + (11 * -1 + 8a * -1) + -7 = -8(-5a) + (-1a) + 7 -7 + 9a + (-11 + -8a) + -7 = -8(-5a) + (-1a) + 7 Reorder the terms: -7 + -11 + -7 + 9a + -8a = -8(-5a) + (-1a) + 7 Combine like terms: -7 + -11 = -18 -18 + -7 + 9a + -8a = -8(-5a) + (-1a) + 7 Combine like terms: -18 + -7 = -25 -25 + 9a + -8a = -8(-5a) + (-1a) + 7 Combine like terms: 9a + -8a = 1a -25 + 1a = -8(-5a) + (-1a) + 7 Remove parenthesis around (-5a) -25 + 1a = -8 * -5a + (-1a) + 7 Multiply -8 * -5 -25 + 1a = 40a + (-1a) + 7 Reorder the terms: -25 + 1a = 7 + 40a + (-1a) Combine like terms: 40a + (-1a) = 39a -25 + 1a = 7 + 39a Solving -25 + 1a = 7 + 39a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-39a' to each side of the equation. -25 + 1a + -39a = 7 + 39a + -39a Combine like terms: 1a + -39a = -38a -25 + -38a = 7 + 39a + -39a Combine like terms: 39a + -39a = 0 -25 + -38a = 7 + 0 -25 + -38a = 7 Add '25' to each side of the equation. -25 + 25 + -38a = 7 + 25 Combine like terms: -25 + 25 = 0 0 + -38a = 7 + 25 -38a = 7 + 25 Combine like terms: 7 + 25 = 32 -38a = 32 Divide each side by '-38'. a = -0.8421052632 Simplifying a = -0.8421052632
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