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Simplifying 6a + 7b + -6(2a + -8b) = 0 6a + 7b + (2a * -6 + -8b * -6) = 0 6a + 7b + (-12a + 48b) = 0 Reorder the terms: 6a + -12a + 7b + 48b = 0 Combine like terms: 6a + -12a = -6a -6a + 7b + 48b = 0 Combine like terms: 7b + 48b = 55b -6a + 55b = 0 Solving -6a + 55b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-55b' to each side of the equation. -6a + 55b + -55b = 0 + -55b Combine like terms: 55b + -55b = 0 -6a + 0 = 0 + -55b -6a = 0 + -55b Remove the zero: -6a = -55b Divide each side by '-6'. a = 9.166666667b Simplifying a = 9.166666667b
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