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Simplifying 6(2a + -1b) + -8(7b + -8a) = 0 (2a * 6 + -1b * 6) + -8(7b + -8a) = 0 (12a + -6b) + -8(7b + -8a) = 0 Reorder the terms: 12a + -6b + -8(-8a + 7b) = 0 12a + -6b + (-8a * -8 + 7b * -8) = 0 12a + -6b + (64a + -56b) = 0 Reorder the terms: 12a + 64a + -6b + -56b = 0 Combine like terms: 12a + 64a = 76a 76a + -6b + -56b = 0 Combine like terms: -6b + -56b = -62b 76a + -62b = 0 Solving 76a + -62b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '62b' to each side of the equation. 76a + -62b + 62b = 0 + 62b Combine like terms: -62b + 62b = 0 76a + 0 = 0 + 62b 76a = 0 + 62b Remove the zero: 76a = 62b Divide each side by '76'. a = 0.8157894737b Simplifying a = 0.8157894737b
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