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Simplifying 4(3a + -1) + -3(a + -4) = 0 Reorder the terms: 4(-1 + 3a) + -3(a + -4) = 0 (-1 * 4 + 3a * 4) + -3(a + -4) = 0 (-4 + 12a) + -3(a + -4) = 0 Reorder the terms: -4 + 12a + -3(-4 + a) = 0 -4 + 12a + (-4 * -3 + a * -3) = 0 -4 + 12a + (12 + -3a) = 0 Reorder the terms: -4 + 12 + 12a + -3a = 0 Combine like terms: -4 + 12 = 8 8 + 12a + -3a = 0 Combine like terms: 12a + -3a = 9a 8 + 9a = 0 Solving 8 + 9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9a = 0 + -8 9a = 0 + -8 Combine like terms: 0 + -8 = -8 9a = -8 Divide each side by '9'. a = -0.8888888889 Simplifying a = -0.8888888889
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