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