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Simplifying 6(3a + -1b) + -5(5b + -5a) = 0 (3a * 6 + -1b * 6) + -5(5b + -5a) = 0 (18a + -6b) + -5(5b + -5a) = 0 Reorder the terms: 18a + -6b + -5(-5a + 5b) = 0 18a + -6b + (-5a * -5 + 5b * -5) = 0 18a + -6b + (25a + -25b) = 0 Reorder the terms: 18a + 25a + -6b + -25b = 0 Combine like terms: 18a + 25a = 43a 43a + -6b + -25b = 0 Combine like terms: -6b + -25b = -31b 43a + -31b = 0 Solving 43a + -31b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '31b' to each side of the equation. 43a + -31b + 31b = 0 + 31b Combine like terms: -31b + 31b = 0 43a + 0 = 0 + 31b 43a = 0 + 31b Remove the zero: 43a = 31b Divide each side by '43'. a = 0.7209302326b Simplifying a = 0.7209302326b
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