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Simplifying 8(6a + -1b) + -7(4b + -2a) = 0 (6a * 8 + -1b * 8) + -7(4b + -2a) = 0 (48a + -8b) + -7(4b + -2a) = 0 Reorder the terms: 48a + -8b + -7(-2a + 4b) = 0 48a + -8b + (-2a * -7 + 4b * -7) = 0 48a + -8b + (14a + -28b) = 0 Reorder the terms: 48a + 14a + -8b + -28b = 0 Combine like terms: 48a + 14a = 62a 62a + -8b + -28b = 0 Combine like terms: -8b + -28b = -36b 62a + -36b = 0 Solving 62a + -36b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36b' to each side of the equation. 62a + -36b + 36b = 0 + 36b Combine like terms: -36b + 36b = 0 62a + 0 = 0 + 36b 62a = 0 + 36b Remove the zero: 62a = 36b Divide each side by '62'. a = 0.5806451613b Simplifying a = 0.5806451613b
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