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Simplifying 3(6a + -1b) + -8(8b + -2a) = 0 (6a * 3 + -1b * 3) + -8(8b + -2a) = 0 (18a + -3b) + -8(8b + -2a) = 0 Reorder the terms: 18a + -3b + -8(-2a + 8b) = 0 18a + -3b + (-2a * -8 + 8b * -8) = 0 18a + -3b + (16a + -64b) = 0 Reorder the terms: 18a + 16a + -3b + -64b = 0 Combine like terms: 18a + 16a = 34a 34a + -3b + -64b = 0 Combine like terms: -3b + -64b = -67b 34a + -67b = 0 Solving 34a + -67b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '67b' to each side of the equation. 34a + -67b + 67b = 0 + 67b Combine like terms: -67b + 67b = 0 34a + 0 = 0 + 67b 34a = 0 + 67b Remove the zero: 34a = 67b Divide each side by '34'. a = 1.970588235b Simplifying a = 1.970588235b
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