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Simplifying 6(3a + -1b) + -4(4b + -6a) = 0 (3a * 6 + -1b * 6) + -4(4b + -6a) = 0 (18a + -6b) + -4(4b + -6a) = 0 Reorder the terms: 18a + -6b + -4(-6a + 4b) = 0 18a + -6b + (-6a * -4 + 4b * -4) = 0 18a + -6b + (24a + -16b) = 0 Reorder the terms: 18a + 24a + -6b + -16b = 0 Combine like terms: 18a + 24a = 42a 42a + -6b + -16b = 0 Combine like terms: -6b + -16b = -22b 42a + -22b = 0 Solving 42a + -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. 42a + -22b + 22b = 0 + 22b Combine like terms: -22b + 22b = 0 42a + 0 = 0 + 22b 42a = 0 + 22b Remove the zero: 42a = 22b Divide each side by '42'. a = 0.5238095238b Simplifying a = 0.5238095238b
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