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Simplifying 4a + 9b + 2c + d = 0 Solving 4a + 9b + 2c + d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 4a + 9b + 2c + -9b + d = 0 + -9b Reorder the terms: 4a + 9b + -9b + 2c + d = 0 + -9b Combine like terms: 9b + -9b = 0 4a + 0 + 2c + d = 0 + -9b 4a + 2c + d = 0 + -9b Remove the zero: 4a + 2c + d = -9b Add '-2c' to each side of the equation. 4a + 2c + -2c + d = -9b + -2c Combine like terms: 2c + -2c = 0 4a + 0 + d = -9b + -2c 4a + d = -9b + -2c Add '-1d' to each side of the equation. 4a + d + -1d = -9b + -2c + -1d Combine like terms: d + -1d = 0 4a + 0 = -9b + -2c + -1d 4a = -9b + -2c + -1d Divide each side by '4'. a = -2.25b + -0.5c + -0.25d Simplifying a = -2.25b + -0.5c + -0.25d
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