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