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Simplifying 3(8a + -1b) + -8(5b + -8a) = 0 (8a * 3 + -1b * 3) + -8(5b + -8a) = 0 (24a + -3b) + -8(5b + -8a) = 0 Reorder the terms: 24a + -3b + -8(-8a + 5b) = 0 24a + -3b + (-8a * -8 + 5b * -8) = 0 24a + -3b + (64a + -40b) = 0 Reorder the terms: 24a + 64a + -3b + -40b = 0 Combine like terms: 24a + 64a = 88a 88a + -3b + -40b = 0 Combine like terms: -3b + -40b = -43b 88a + -43b = 0 Solving 88a + -43b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '43b' to each side of the equation. 88a + -43b + 43b = 0 + 43b Combine like terms: -43b + 43b = 0 88a + 0 = 0 + 43b 88a = 0 + 43b Remove the zero: 88a = 43b Divide each side by '88'. a = 0.4886363636b Simplifying a = 0.4886363636b
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