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Simplifying -2(6a + 4b + -8c) = 0 (6a * -2 + 4b * -2 + -8c * -2) = 0 (-12a + -8b + 16c) = 0 Solving -12a + -8b + 16c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. -12a + -8b + 8b + 16c = 0 + 8b Combine like terms: -8b + 8b = 0 -12a + 0 + 16c = 0 + 8b -12a + 16c = 0 + 8b Remove the zero: -12a + 16c = 8b Add '-16c' to each side of the equation. -12a + 16c + -16c = 8b + -16c Combine like terms: 16c + -16c = 0 -12a + 0 = 8b + -16c -12a = 8b + -16c Divide each side by '-12'. a = -0.6666666667b + 1.333333333c Simplifying a = -0.6666666667b + 1.333333333c
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