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Simplifying 398 = 9a + 10b + 12c Solving 398 = 9a + 10b + 12c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 398 + -9a = 9a + 10b + -9a + 12c Reorder the terms: 398 + -9a = 9a + -9a + 10b + 12c Combine like terms: 9a + -9a = 0 398 + -9a = 0 + 10b + 12c 398 + -9a = 10b + 12c Add '-398' to each side of the equation. 398 + -398 + -9a = 10b + -398 + 12c Combine like terms: 398 + -398 = 0 0 + -9a = 10b + -398 + 12c -9a = 10b + -398 + 12c Reorder the terms: -9a = -398 + 10b + 12c Divide each side by '-9'. a = 44.22222222 + -1.111111111b + -1.333333333c Simplifying a = 44.22222222 + -1.111111111b + -1.333333333c
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