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Simplifying 6(8a + -1b) + -4(6b + -5a) = 0 (8a * 6 + -1b * 6) + -4(6b + -5a) = 0 (48a + -6b) + -4(6b + -5a) = 0 Reorder the terms: 48a + -6b + -4(-5a + 6b) = 0 48a + -6b + (-5a * -4 + 6b * -4) = 0 48a + -6b + (20a + -24b) = 0 Reorder the terms: 48a + 20a + -6b + -24b = 0 Combine like terms: 48a + 20a = 68a 68a + -6b + -24b = 0 Combine like terms: -6b + -24b = -30b 68a + -30b = 0 Solving 68a + -30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30b' to each side of the equation. 68a + -30b + 30b = 0 + 30b Combine like terms: -30b + 30b = 0 68a + 0 = 0 + 30b 68a = 0 + 30b Remove the zero: 68a = 30b Divide each side by '68'. a = 0.4411764706b Simplifying a = 0.4411764706b
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