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Simplifying 5(6a + -1b) + -7(2b + -7a) = 0 (6a * 5 + -1b * 5) + -7(2b + -7a) = 0 (30a + -5b) + -7(2b + -7a) = 0 Reorder the terms: 30a + -5b + -7(-7a + 2b) = 0 30a + -5b + (-7a * -7 + 2b * -7) = 0 30a + -5b + (49a + -14b) = 0 Reorder the terms: 30a + 49a + -5b + -14b = 0 Combine like terms: 30a + 49a = 79a 79a + -5b + -14b = 0 Combine like terms: -5b + -14b = -19b 79a + -19b = 0 Solving 79a + -19b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19b' to each side of the equation. 79a + -19b + 19b = 0 + 19b Combine like terms: -19b + 19b = 0 79a + 0 = 0 + 19b 79a = 0 + 19b Remove the zero: 79a = 19b Divide each side by '79'. a = 0.2405063291b Simplifying a = 0.2405063291b
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