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Simplifying a + 3b + -4c + -1a + b + -5c = 0 Reorder the terms: a + -1a + 3b + b + -4c + -5c = 0 Combine like terms: a + -1a = 0 0 + 3b + b + -4c + -5c = 0 3b + b + -4c + -5c = 0 Combine like terms: 3b + b = 4b 4b + -4c + -5c = 0 Combine like terms: -4c + -5c = -9c 4b + -9c = 0 Solving 4b + -9c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9c' to each side of the equation. 4b + -9c + 9c = 0 + 9c Combine like terms: -9c + 9c = 0 4b + 0 = 0 + 9c 4b = 0 + 9c Remove the zero: 4b = 9c Divide each side by '4'. b = 2.25c Simplifying b = 2.25c
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