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Simplifying 6(8a + -1b) + -5(2b + -8a) = 0 (8a * 6 + -1b * 6) + -5(2b + -8a) = 0 (48a + -6b) + -5(2b + -8a) = 0 Reorder the terms: 48a + -6b + -5(-8a + 2b) = 0 48a + -6b + (-8a * -5 + 2b * -5) = 0 48a + -6b + (40a + -10b) = 0 Reorder the terms: 48a + 40a + -6b + -10b = 0 Combine like terms: 48a + 40a = 88a 88a + -6b + -10b = 0 Combine like terms: -6b + -10b = -16b 88a + -16b = 0 Solving 88a + -16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b' to each side of the equation. 88a + -16b + 16b = 0 + 16b Combine like terms: -16b + 16b = 0 88a + 0 = 0 + 16b 88a = 0 + 16b Remove the zero: 88a = 16b Divide each side by '88'. a = 0.1818181818b Simplifying a = 0.1818181818b
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