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Simplifying 3(8a + -1b) + -7(8b + -2a) = 0 (8a * 3 + -1b * 3) + -7(8b + -2a) = 0 (24a + -3b) + -7(8b + -2a) = 0 Reorder the terms: 24a + -3b + -7(-2a + 8b) = 0 24a + -3b + (-2a * -7 + 8b * -7) = 0 24a + -3b + (14a + -56b) = 0 Reorder the terms: 24a + 14a + -3b + -56b = 0 Combine like terms: 24a + 14a = 38a 38a + -3b + -56b = 0 Combine like terms: -3b + -56b = -59b 38a + -59b = 0 Solving 38a + -59b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '59b' to each side of the equation. 38a + -59b + 59b = 0 + 59b Combine like terms: -59b + 59b = 0 38a + 0 = 0 + 59b 38a = 0 + 59b Remove the zero: 38a = 59b Divide each side by '38'. a = 1.552631579b Simplifying a = 1.552631579b
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