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