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Simplifying 8(6a + -1b) + -4(6b + -2a) = 0 (6a * 8 + -1b * 8) + -4(6b + -2a) = 0 (48a + -8b) + -4(6b + -2a) = 0 Reorder the terms: 48a + -8b + -4(-2a + 6b) = 0 48a + -8b + (-2a * -4 + 6b * -4) = 0 48a + -8b + (8a + -24b) = 0 Reorder the terms: 48a + 8a + -8b + -24b = 0 Combine like terms: 48a + 8a = 56a 56a + -8b + -24b = 0 Combine like terms: -8b + -24b = -32b 56a + -32b = 0 Solving 56a + -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. 56a + -32b + 32b = 0 + 32b Combine like terms: -32b + 32b = 0 56a + 0 = 0 + 32b 56a = 0 + 32b Remove the zero: 56a = 32b Divide each side by '56'. a = 0.5714285714b Simplifying a = 0.5714285714b
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