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Simplifying 12(a + b + c) = 0 (a * 12 + b * 12 + c * 12) = 0 (12a + 12b + 12c) = 0 Solving 12a + 12b + 12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 12a + 12b + -12b + 12c = 0 + -12b Combine like terms: 12b + -12b = 0 12a + 0 + 12c = 0 + -12b 12a + 12c = 0 + -12b Remove the zero: 12a + 12c = -12b Add '-12c' to each side of the equation. 12a + 12c + -12c = -12b + -12c Combine like terms: 12c + -12c = 0 12a + 0 = -12b + -12c 12a = -12b + -12c Divide each side by '12'. a = -1b + -1c Simplifying a = -1b + -1c
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