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Simplifying 3(4a + -3) + -1(6a + 5) = 0 Reorder the terms: 3(-3 + 4a) + -1(6a + 5) = 0 (-3 * 3 + 4a * 3) + -1(6a + 5) = 0 (-9 + 12a) + -1(6a + 5) = 0 Reorder the terms: -9 + 12a + -1(5 + 6a) = 0 -9 + 12a + (5 * -1 + 6a * -1) = 0 -9 + 12a + (-5 + -6a) = 0 Reorder the terms: -9 + -5 + 12a + -6a = 0 Combine like terms: -9 + -5 = -14 -14 + 12a + -6a = 0 Combine like terms: 12a + -6a = 6a -14 + 6a = 0 Solving -14 + 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 6a = 0 + 14 6a = 0 + 14 Combine like terms: 0 + 14 = 14 6a = 14 Divide each side by '6'. a = 2.333333333 Simplifying a = 2.333333333
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