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Simplifying (8a + 2b) + (2c + -8a) = 0 Remove parenthesis around (8a + 2b) 8a + 2b + (2c + -8a) = 0 Reorder the terms: 8a + 2b + (-8a + 2c) = 0 Remove parenthesis around (-8a + 2c) 8a + 2b + -8a + 2c = 0 Reorder the terms: 8a + -8a + 2b + 2c = 0 Combine like terms: 8a + -8a = 0 0 + 2b + 2c = 0 2b + 2c = 0 Solving 2b + 2c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2c' to each side of the equation. 2b + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 2b + 0 = 0 + -2c 2b = 0 + -2c Remove the zero: 2b = -2c Divide each side by '2'. b = -1c Simplifying b = -1c
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