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Simplifying 8(8a + -1b) + -5(8b + -6a) = 0 (8a * 8 + -1b * 8) + -5(8b + -6a) = 0 (64a + -8b) + -5(8b + -6a) = 0 Reorder the terms: 64a + -8b + -5(-6a + 8b) = 0 64a + -8b + (-6a * -5 + 8b * -5) = 0 64a + -8b + (30a + -40b) = 0 Reorder the terms: 64a + 30a + -8b + -40b = 0 Combine like terms: 64a + 30a = 94a 94a + -8b + -40b = 0 Combine like terms: -8b + -40b = -48b 94a + -48b = 0 Solving 94a + -48b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48b' to each side of the equation. 94a + -48b + 48b = 0 + 48b Combine like terms: -48b + 48b = 0 94a + 0 = 0 + 48b 94a = 0 + 48b Remove the zero: 94a = 48b Divide each side by '94'. a = 0.5106382979b Simplifying a = 0.5106382979b
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