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Simplifying 12a + 4b + 8c = 6d + 3e + 3f Solving 12a + 4b + 8c = 6d + 3e + 3f Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 12a + 4b + -4b + 8c = 6d + 3e + -4b + 3f Combine like terms: 4b + -4b = 0 12a + 0 + 8c = 6d + 3e + -4b + 3f 12a + 8c = 6d + 3e + -4b + 3f Reorder the terms: 12a + 8c = -4b + 6d + 3e + 3f Add '-8c' to each side of the equation. 12a + 8c + -8c = -4b + 6d + 3e + -8c + 3f Combine like terms: 8c + -8c = 0 12a + 0 = -4b + 6d + 3e + -8c + 3f 12a = -4b + 6d + 3e + -8c + 3f Reorder the terms: 12a = -4b + -8c + 6d + 3e + 3f Divide each side by '12'. a = -0.3333333333b + -0.6666666667c + 0.5d + 0.25e + 0.25f Simplifying a = -0.3333333333b + -0.6666666667c + 0.5d + 0.25e + 0.25f
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