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Simplifying 6(8a + -1b) + -7(6b + -7a) = 0 (8a * 6 + -1b * 6) + -7(6b + -7a) = 0 (48a + -6b) + -7(6b + -7a) = 0 Reorder the terms: 48a + -6b + -7(-7a + 6b) = 0 48a + -6b + (-7a * -7 + 6b * -7) = 0 48a + -6b + (49a + -42b) = 0 Reorder the terms: 48a + 49a + -6b + -42b = 0 Combine like terms: 48a + 49a = 97a 97a + -6b + -42b = 0 Combine like terms: -6b + -42b = -48b 97a + -48b = 0 Solving 97a + -48b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48b' to each side of the equation. 97a + -48b + 48b = 0 + 48b Combine like terms: -48b + 48b = 0 97a + 0 = 0 + 48b 97a = 0 + 48b Remove the zero: 97a = 48b Divide each side by '97'. a = 0.4948453608b Simplifying a = 0.4948453608b
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