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Simplifying 4(3a + 5) + 2(3a + 5) + -6(6 + 3a) = 0 Reorder the terms: 4(5 + 3a) + 2(3a + 5) + -6(6 + 3a) = 0 (5 * 4 + 3a * 4) + 2(3a + 5) + -6(6 + 3a) = 0 (20 + 12a) + 2(3a + 5) + -6(6 + 3a) = 0 Reorder the terms: 20 + 12a + 2(5 + 3a) + -6(6 + 3a) = 0 20 + 12a + (5 * 2 + 3a * 2) + -6(6 + 3a) = 0 20 + 12a + (10 + 6a) + -6(6 + 3a) = 0 20 + 12a + 10 + 6a + (6 * -6 + 3a * -6) = 0 20 + 12a + 10 + 6a + (-36 + -18a) = 0 Reorder the terms: 20 + 10 + -36 + 12a + 6a + -18a = 0 Combine like terms: 20 + 10 = 30 30 + -36 + 12a + 6a + -18a = 0 Combine like terms: 30 + -36 = -6 -6 + 12a + 6a + -18a = 0 Combine like terms: 12a + 6a = 18a -6 + 18a + -18a = 0 Combine like terms: 18a + -18a = 0 -6 + 0 = 0 -6 = 0 Solving -6 = 0 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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