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Simplifying 4a + -8b + 4c + -8d = 1 Solving 4a + -8b + 4c + -8d = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. 4a + -8b + 4c + 8b + -8d = 1 + 8b Reorder the terms: 4a + -8b + 8b + 4c + -8d = 1 + 8b Combine like terms: -8b + 8b = 0 4a + 0 + 4c + -8d = 1 + 8b 4a + 4c + -8d = 1 + 8b Add '-4c' to each side of the equation. 4a + 4c + -4c + -8d = 1 + 8b + -4c Combine like terms: 4c + -4c = 0 4a + 0 + -8d = 1 + 8b + -4c 4a + -8d = 1 + 8b + -4c Add '8d' to each side of the equation. 4a + -8d + 8d = 1 + 8b + -4c + 8d Combine like terms: -8d + 8d = 0 4a + 0 = 1 + 8b + -4c + 8d 4a = 1 + 8b + -4c + 8d Divide each side by '4'. a = 0.25 + 2b + -1c + 2d Simplifying a = 0.25 + 2b + -1c + 2d
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