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Simplifying 2a + 2b + -3c + -1b + -1c + c + -2a = 0 Reorder the terms: 2a + -2a + 2b + -1b + -3c + -1c + c = 0 Combine like terms: 2a + -2a = 0 0 + 2b + -1b + -3c + -1c + c = 0 2b + -1b + -3c + -1c + c = 0 Combine like terms: 2b + -1b = 1b 1b + -3c + -1c + c = 0 Combine like terms: -3c + -1c = -4c 1b + -4c + c = 0 Combine like terms: -4c + c = -3c 1b + -3c = 0 Solving 1b + -3c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3c' to each side of the equation. 1b + -3c + 3c = 0 + 3c Combine like terms: -3c + 3c = 0 1b + 0 = 0 + 3c 1b = 0 + 3c Remove the zero: 1b = 3c Divide each side by '1'. b = 3c Simplifying b = 3c
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