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Simplifying 8(6a + -1b) + -6(4b + -2a) = 0 (6a * 8 + -1b * 8) + -6(4b + -2a) = 0 (48a + -8b) + -6(4b + -2a) = 0 Reorder the terms: 48a + -8b + -6(-2a + 4b) = 0 48a + -8b + (-2a * -6 + 4b * -6) = 0 48a + -8b + (12a + -24b) = 0 Reorder the terms: 48a + 12a + -8b + -24b = 0 Combine like terms: 48a + 12a = 60a 60a + -8b + -24b = 0 Combine like terms: -8b + -24b = -32b 60a + -32b = 0 Solving 60a + -32b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32b' to each side of the equation. 60a + -32b + 32b = 0 + 32b Combine like terms: -32b + 32b = 0 60a + 0 = 0 + 32b 60a = 0 + 32b Remove the zero: 60a = 32b Divide each side by '60'. a = 0.5333333333b Simplifying a = 0.5333333333b
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