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Simplifying 12 = 6a + 12b + 18c Solving 12 = 6a + 12b + 18c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 12 + -6a = 6a + 12b + -6a + 18c Reorder the terms: 12 + -6a = 6a + -6a + 12b + 18c Combine like terms: 6a + -6a = 0 12 + -6a = 0 + 12b + 18c 12 + -6a = 12b + 18c Add '-12' to each side of the equation. 12 + -12 + -6a = 12b + -12 + 18c Combine like terms: 12 + -12 = 0 0 + -6a = 12b + -12 + 18c -6a = 12b + -12 + 18c Reorder the terms: -6a = -12 + 12b + 18c Divide each side by '-6'. a = 2 + -2b + -3c Simplifying a = 2 + -2b + -3c
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