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