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Simplifying 6a = 17(7a + -1[a + (a + -1)]) Reorder the terms: 6a = 17(7a + -1[a + (-1 + a)]) Remove parenthesis around (-1 + a) 6a = 17(7a + -1[a + -1 + a]) Reorder the terms: 6a = 17(7a + -1[-1 + a + a]) Combine like terms: a + a = 2a 6a = 17(7a + -1[-1 + 2a]) 6a = 17(7a + [-1 * -1 + 2a * -1]) 6a = 17(7a + [1 + -2a]) Reorder the terms: 6a = 17(1 + 7a + -2a) Combine like terms: 7a + -2a = 5a 6a = 17(1 + 5a) 6a = (1 * 17 + 5a * 17) 6a = (17 + 85a) Solving 6a = 17 + 85a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-85a' to each side of the equation. 6a + -85a = 17 + 85a + -85a Combine like terms: 6a + -85a = -79a -79a = 17 + 85a + -85a Combine like terms: 85a + -85a = 0 -79a = 17 + 0 -79a = 17 Divide each side by '-79'. a = -0.2151898734 Simplifying a = -0.2151898734
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