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