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Simplifying -6a + -1(4b + -12a + 7c) = 0 Reorder the terms: -6a + -1(-12a + 4b + 7c) = 0 -6a + (-12a * -1 + 4b * -1 + 7c * -1) = 0 -6a + (12a + -4b + -7c) = 0 Combine like terms: -6a + 12a = 6a 6a + -4b + -7c = 0 Solving 6a + -4b + -7c = 0 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. 6a + -4b + 4b + -7c = 0 + 4b Combine like terms: -4b + 4b = 0 6a + 0 + -7c = 0 + 4b 6a + -7c = 0 + 4b Remove the zero: 6a + -7c = 4b Add '7c' to each side of the equation. 6a + -7c + 7c = 4b + 7c Combine like terms: -7c + 7c = 0 6a + 0 = 4b + 7c 6a = 4b + 7c Divide each side by '6'. a = 0.6666666667b + 1.166666667c Simplifying a = 0.6666666667b + 1.166666667c
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