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Simplifying 5(5a + -1b) + -6(2b + -4a) = 0 (5a * 5 + -1b * 5) + -6(2b + -4a) = 0 (25a + -5b) + -6(2b + -4a) = 0 Reorder the terms: 25a + -5b + -6(-4a + 2b) = 0 25a + -5b + (-4a * -6 + 2b * -6) = 0 25a + -5b + (24a + -12b) = 0 Reorder the terms: 25a + 24a + -5b + -12b = 0 Combine like terms: 25a + 24a = 49a 49a + -5b + -12b = 0 Combine like terms: -5b + -12b = -17b 49a + -17b = 0 Solving 49a + -17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17b' to each side of the equation. 49a + -17b + 17b = 0 + 17b Combine like terms: -17b + 17b = 0 49a + 0 = 0 + 17b 49a = 0 + 17b Remove the zero: 49a = 17b Divide each side by '49'. a = 0.3469387755b Simplifying a = 0.3469387755b
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