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Simplifying 3a + -12b + -21c = 0 Solving 3a + -12b + -21c = 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. 3a + -12b + 12b + -21c = 0 + 12b Combine like terms: -12b + 12b = 0 3a + 0 + -21c = 0 + 12b 3a + -21c = 0 + 12b Remove the zero: 3a + -21c = 12b Add '21c' to each side of the equation. 3a + -21c + 21c = 12b + 21c Combine like terms: -21c + 21c = 0 3a + 0 = 12b + 21c 3a = 12b + 21c Divide each side by '3'. a = 4b + 7c Simplifying a = 4b + 7c
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