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Simplifying 5(4 + -3a) + -6(2 + -4a) = 1 + -1(-8 + -9a) (4 * 5 + -3a * 5) + -6(2 + -4a) = 1 + -1(-8 + -9a) (20 + -15a) + -6(2 + -4a) = 1 + -1(-8 + -9a) 20 + -15a + (2 * -6 + -4a * -6) = 1 + -1(-8 + -9a) 20 + -15a + (-12 + 24a) = 1 + -1(-8 + -9a) Reorder the terms: 20 + -12 + -15a + 24a = 1 + -1(-8 + -9a) Combine like terms: 20 + -12 = 8 8 + -15a + 24a = 1 + -1(-8 + -9a) Combine like terms: -15a + 24a = 9a 8 + 9a = 1 + -1(-8 + -9a) 8 + 9a = 1 + (-8 * -1 + -9a * -1) 8 + 9a = 1 + (8 + 9a) Combine like terms: 1 + 8 = 9 8 + 9a = 9 + 9a Add '-9a' to each side of the equation. 8 + 9a + -9a = 9 + 9a + -9a Combine like terms: 9a + -9a = 0 8 + 0 = 9 + 9a + -9a 8 = 9 + 9a + -9a Combine like terms: 9a + -9a = 0 8 = 9 + 0 8 = 9 Solving 8 = 9 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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