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Simplifying 4a + 2b + c = 1000 Solving 4a + 2b + c = 1000 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 + -2b + c = 1000 + -2b Combine like terms: 2b + -2b = 0 4a + 0 + c = 1000 + -2b 4a + c = 1000 + -2b Add '-1c' to each side of the equation. 4a + c + -1c = 1000 + -2b + -1c Combine like terms: c + -1c = 0 4a + 0 = 1000 + -2b + -1c 4a = 1000 + -2b + -1c Divide each side by '4'. a = 250 + -0.5b + -0.25c Simplifying a = 250 + -0.5b + -0.25c
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