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Simplifying 3b + 6a + 9b + 3f = 0 Reorder the terms: 6a + 3b + 9b + 3f = 0 Combine like terms: 3b + 9b = 12b 6a + 12b + 3f = 0 Solving 6a + 12b + 3f = 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. 6a + 12b + -12b + 3f = 0 + -12b Combine like terms: 12b + -12b = 0 6a + 0 + 3f = 0 + -12b 6a + 3f = 0 + -12b Remove the zero: 6a + 3f = -12b Add '-3f' to each side of the equation. 6a + 3f + -3f = -12b + -3f Combine like terms: 3f + -3f = 0 6a + 0 = -12b + -3f 6a = -12b + -3f Divide each side by '6'. a = -2b + -0.5f Simplifying a = -2b + -0.5f
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