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