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Simplifying 9a + -3(a + 8) = 6(a + -3) + 6 Reorder the terms: 9a + -3(8 + a) = 6(a + -3) + 6 9a + (8 * -3 + a * -3) = 6(a + -3) + 6 9a + (-24 + -3a) = 6(a + -3) + 6 Reorder the terms: -24 + 9a + -3a = 6(a + -3) + 6 Combine like terms: 9a + -3a = 6a -24 + 6a = 6(a + -3) + 6 Reorder the terms: -24 + 6a = 6(-3 + a) + 6 -24 + 6a = (-3 * 6 + a * 6) + 6 -24 + 6a = (-18 + 6a) + 6 Reorder the terms: -24 + 6a = -18 + 6 + 6a Combine like terms: -18 + 6 = -12 -24 + 6a = -12 + 6a Add '-6a' to each side of the equation. -24 + 6a + -6a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 -24 + 0 = -12 + 6a + -6a -24 = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 -24 = -12 + 0 -24 = -12 Solving -24 = -12 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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