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Simplifying 6(8a + -1b) + -3(5b + -7a) = 0 (8a * 6 + -1b * 6) + -3(5b + -7a) = 0 (48a + -6b) + -3(5b + -7a) = 0 Reorder the terms: 48a + -6b + -3(-7a + 5b) = 0 48a + -6b + (-7a * -3 + 5b * -3) = 0 48a + -6b + (21a + -15b) = 0 Reorder the terms: 48a + 21a + -6b + -15b = 0 Combine like terms: 48a + 21a = 69a 69a + -6b + -15b = 0 Combine like terms: -6b + -15b = -21b 69a + -21b = 0 Solving 69a + -21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21b' to each side of the equation. 69a + -21b + 21b = 0 + 21b Combine like terms: -21b + 21b = 0 69a + 0 = 0 + 21b 69a = 0 + 21b Remove the zero: 69a = 21b Divide each side by '69'. a = 0.3043478261b Simplifying a = 0.3043478261b
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