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Simplifying (6b + -4a) + (4b + -8a) = 0 Reorder the terms: (-4a + 6b) + (4b + -8a) = 0 Remove parenthesis around (-4a + 6b) -4a + 6b + (4b + -8a) = 0 Reorder the terms: -4a + 6b + (-8a + 4b) = 0 Remove parenthesis around (-8a + 4b) -4a + 6b + -8a + 4b = 0 Reorder the terms: -4a + -8a + 6b + 4b = 0 Combine like terms: -4a + -8a = -12a -12a + 6b + 4b = 0 Combine like terms: 6b + 4b = 10b -12a + 10b = 0 Solving -12a + 10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. -12a + 10b + -10b = 0 + -10b Combine like terms: 10b + -10b = 0 -12a + 0 = 0 + -10b -12a = 0 + -10b Remove the zero: -12a = -10b Divide each side by '-12'. a = 0.8333333333b Simplifying a = 0.8333333333b
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