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Simplifying 7(8a + -1b) + -6(b + -8a) = 0 (8a * 7 + -1b * 7) + -6(b + -8a) = 0 (56a + -7b) + -6(b + -8a) = 0 Reorder the terms: 56a + -7b + -6(-8a + b) = 0 56a + -7b + (-8a * -6 + b * -6) = 0 56a + -7b + (48a + -6b) = 0 Reorder the terms: 56a + 48a + -7b + -6b = 0 Combine like terms: 56a + 48a = 104a 104a + -7b + -6b = 0 Combine like terms: -7b + -6b = -13b 104a + -13b = 0 Solving 104a + -13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13b' to each side of the equation. 104a + -13b + 13b = 0 + 13b Combine like terms: -13b + 13b = 0 104a + 0 = 0 + 13b 104a = 0 + 13b Remove the zero: 104a = 13b Divide each side by '104'. a = 0.125b Simplifying a = 0.125b
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