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Simplifying 3(a + 4b + -2c) = 0 (a * 3 + 4b * 3 + -2c * 3) = 0 (3a + 12b + -6c) = 0 Solving 3a + 12b + -6c = 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 + -6c = 0 + -12b Combine like terms: 12b + -12b = 0 3a + 0 + -6c = 0 + -12b 3a + -6c = 0 + -12b Remove the zero: 3a + -6c = -12b Add '6c' to each side of the equation. 3a + -6c + 6c = -12b + 6c Combine like terms: -6c + 6c = 0 3a + 0 = -12b + 6c 3a = -12b + 6c Divide each side by '3'. a = -4b + 2c Simplifying a = -4b + 2c
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