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Simplifying 6(2a + -1b) + -8(2b + -4a) = 0 (2a * 6 + -1b * 6) + -8(2b + -4a) = 0 (12a + -6b) + -8(2b + -4a) = 0 Reorder the terms: 12a + -6b + -8(-4a + 2b) = 0 12a + -6b + (-4a * -8 + 2b * -8) = 0 12a + -6b + (32a + -16b) = 0 Reorder the terms: 12a + 32a + -6b + -16b = 0 Combine like terms: 12a + 32a = 44a 44a + -6b + -16b = 0 Combine like terms: -6b + -16b = -22b 44a + -22b = 0 Solving 44a + -22b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22b' to each side of the equation. 44a + -22b + 22b = 0 + 22b Combine like terms: -22b + 22b = 0 44a + 0 = 0 + 22b 44a = 0 + 22b Remove the zero: 44a = 22b Divide each side by '44'. a = 0.5b Simplifying a = 0.5b
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