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Simplifying a + b + -7a + -8b = 0 Reorder the terms: a + -7a + b + -8b = 0 Combine like terms: a + -7a = -6a -6a + b + -8b = 0 Combine like terms: b + -8b = -7b -6a + -7b = 0 Solving -6a + -7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. -6a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 -6a + 0 = 0 + 7b -6a = 0 + 7b Remove the zero: -6a = 7b Divide each side by '-6'. a = -1.166666667b Simplifying a = -1.166666667b
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