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Simplifying 3(2a + -4b) + -4(2a + -3b) = 0 (2a * 3 + -4b * 3) + -4(2a + -3b) = 0 (6a + -12b) + -4(2a + -3b) = 0 6a + -12b + (2a * -4 + -3b * -4) = 0 6a + -12b + (-8a + 12b) = 0 Reorder the terms: 6a + -8a + -12b + 12b = 0 Combine like terms: 6a + -8a = -2a -2a + -12b + 12b = 0 Combine like terms: -12b + 12b = 0 -2a + 0 = 0 -2a = 0 Solving -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-2'. a = 0 Simplifying a = 0
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