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Simplifying 7(6a + -1b) + -5(2b + -4a) = 0 (6a * 7 + -1b * 7) + -5(2b + -4a) = 0 (42a + -7b) + -5(2b + -4a) = 0 Reorder the terms: 42a + -7b + -5(-4a + 2b) = 0 42a + -7b + (-4a * -5 + 2b * -5) = 0 42a + -7b + (20a + -10b) = 0 Reorder the terms: 42a + 20a + -7b + -10b = 0 Combine like terms: 42a + 20a = 62a 62a + -7b + -10b = 0 Combine like terms: -7b + -10b = -17b 62a + -17b = 0 Solving 62a + -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. 62a + -17b + 17b = 0 + 17b Combine like terms: -17b + 17b = 0 62a + 0 = 0 + 17b 62a = 0 + 17b Remove the zero: 62a = 17b Divide each side by '62'. a = 0.2741935484b Simplifying a = 0.2741935484b
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