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Simplifying 3a + b + c = 12c Solving 3a + b + c = 12c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 3a + b + -1b + c = -1b + 12c Combine like terms: b + -1b = 0 3a + 0 + c = -1b + 12c 3a + c = -1b + 12c Add '-1c' to each side of the equation. 3a + c + -1c = -1b + 12c + -1c Combine like terms: c + -1c = 0 3a + 0 = -1b + 12c + -1c 3a = -1b + 12c + -1c Combine like terms: 12c + -1c = 11c 3a = -1b + 11c Divide each side by '3'. a = -0.3333333333b + 3.666666667c Simplifying a = -0.3333333333b + 3.666666667c
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