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