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Simplifying 6(4a + -2b) + -4(-8a + 6b) = 0 (4a * 6 + -2b * 6) + -4(-8a + 6b) = 0 (24a + -12b) + -4(-8a + 6b) = 0 24a + -12b + (-8a * -4 + 6b * -4) = 0 24a + -12b + (32a + -24b) = 0 Reorder the terms: 24a + 32a + -12b + -24b = 0 Combine like terms: 24a + 32a = 56a 56a + -12b + -24b = 0 Combine like terms: -12b + -24b = -36b 56a + -36b = 0 Solving 56a + -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. 56a + -36b + 36b = 0 + 36b Combine like terms: -36b + 36b = 0 56a + 0 = 0 + 36b 56a = 0 + 36b Remove the zero: 56a = 36b Divide each side by '56'. a = 0.6428571429b Simplifying a = 0.6428571429b
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