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Simplifying 3000a + 2000b + 2300c + 4300d = 426975 Solving 3000a + 2000b + 2300c + 4300d = 426975 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2000b' to each side of the equation. 3000a + 2000b + 2300c + -2000b + 4300d = 426975 + -2000b Reorder the terms: 3000a + 2000b + -2000b + 2300c + 4300d = 426975 + -2000b Combine like terms: 2000b + -2000b = 0 3000a + 0 + 2300c + 4300d = 426975 + -2000b 3000a + 2300c + 4300d = 426975 + -2000b Add '-2300c' to each side of the equation. 3000a + 2300c + -2300c + 4300d = 426975 + -2000b + -2300c Combine like terms: 2300c + -2300c = 0 3000a + 0 + 4300d = 426975 + -2000b + -2300c 3000a + 4300d = 426975 + -2000b + -2300c Add '-4300d' to each side of the equation. 3000a + 4300d + -4300d = 426975 + -2000b + -2300c + -4300d Combine like terms: 4300d + -4300d = 0 3000a + 0 = 426975 + -2000b + -2300c + -4300d 3000a = 426975 + -2000b + -2300c + -4300d Divide each side by '3000'. a = 142.325 + -0.6666666667b + -0.7666666667c + -1.433333333d Simplifying a = 142.325 + -0.6666666667b + -0.7666666667c + -1.433333333d
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