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Simplifying 8a + -3b + (7b + -3a + 6) + 13 + -1(-3a + 2b) + -8a = 0 Reorder the terms: 8a + -3b + (6 + -3a + 7b) + 13 + -1(-3a + 2b) + -8a = 0 Remove parenthesis around (6 + -3a + 7b) 8a + -3b + 6 + -3a + 7b + 13 + -1(-3a + 2b) + -8a = 0 8a + -3b + 6 + -3a + 7b + 13 + (-3a * -1 + 2b * -1) + -8a = 0 8a + -3b + 6 + -3a + 7b + 13 + (3a + -2b) + -8a = 0 Reorder the terms: 6 + 13 + 8a + -3a + 3a + -8a + -3b + 7b + -2b = 0 Combine like terms: 6 + 13 = 19 19 + 8a + -3a + 3a + -8a + -3b + 7b + -2b = 0 Combine like terms: 8a + -3a = 5a 19 + 5a + 3a + -8a + -3b + 7b + -2b = 0 Combine like terms: 5a + 3a = 8a 19 + 8a + -8a + -3b + 7b + -2b = 0 Combine like terms: 8a + -8a = 0 19 + 0 + -3b + 7b + -2b = 0 19 + -3b + 7b + -2b = 0 Combine like terms: -3b + 7b = 4b 19 + 4b + -2b = 0 Combine like terms: 4b + -2b = 2b 19 + 2b = 0 Solving 19 + 2b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2b = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2b = 0 + -19 2b = 0 + -19 Combine like terms: 0 + -19 = -19 2b = -19 Divide each side by '2'. b = -9.5 Simplifying b = -9.5
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