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Simplifying 3(4a + -1b) + -4(7b + -4a) = 0 (4a * 3 + -1b * 3) + -4(7b + -4a) = 0 (12a + -3b) + -4(7b + -4a) = 0 Reorder the terms: 12a + -3b + -4(-4a + 7b) = 0 12a + -3b + (-4a * -4 + 7b * -4) = 0 12a + -3b + (16a + -28b) = 0 Reorder the terms: 12a + 16a + -3b + -28b = 0 Combine like terms: 12a + 16a = 28a 28a + -3b + -28b = 0 Combine like terms: -3b + -28b = -31b 28a + -31b = 0 Solving 28a + -31b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '31b' to each side of the equation. 28a + -31b + 31b = 0 + 31b Combine like terms: -31b + 31b = 0 28a + 0 = 0 + 31b 28a = 0 + 31b Remove the zero: 28a = 31b Divide each side by '28'. a = 1.107142857b Simplifying a = 1.107142857b
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