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Simplifying b + 2c + -4a + 2 = 0 Reorder the terms: 2 + -4a + b + 2c = 0 Solving 2 + -4a + b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -4a + b + -2 + 2c = 0 + -2 Reorder the terms: 2 + -2 + -4a + b + 2c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4a + b + 2c = 0 + -2 -4a + b + 2c = 0 + -2 Combine like terms: 0 + -2 = -2 -4a + b + 2c = -2 Add '-1b' to each side of the equation. -4a + b + -1b + 2c = -2 + -1b Combine like terms: b + -1b = 0 -4a + 0 + 2c = -2 + -1b -4a + 2c = -2 + -1b Add '-2c' to each side of the equation. -4a + 2c + -2c = -2 + -1b + -2c Combine like terms: 2c + -2c = 0 -4a + 0 = -2 + -1b + -2c -4a = -2 + -1b + -2c Divide each side by '-4'. a = 0.5 + 0.25b + 0.5c Simplifying a = 0.5 + 0.25b + 0.5c
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