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Simplifying 12(3a + -7b + 2c) = 0 (3a * 12 + -7b * 12 + 2c * 12) = 0 (36a + -84b + 24c) = 0 Solving 36a + -84b + 24c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '84b' to each side of the equation. 36a + -84b + 84b + 24c = 0 + 84b Combine like terms: -84b + 84b = 0 36a + 0 + 24c = 0 + 84b 36a + 24c = 0 + 84b Remove the zero: 36a + 24c = 84b Add '-24c' to each side of the equation. 36a + 24c + -24c = 84b + -24c Combine like terms: 24c + -24c = 0 36a + 0 = 84b + -24c 36a = 84b + -24c Divide each side by '36'. a = 2.333333333b + -0.6666666667c Simplifying a = 2.333333333b + -0.6666666667c
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