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Simplifying 7(6a + -9) + 12 = 31 + 42a Reorder the terms: 7(-9 + 6a) + 12 = 31 + 42a (-9 * 7 + 6a * 7) + 12 = 31 + 42a (-63 + 42a) + 12 = 31 + 42a Reorder the terms: -63 + 12 + 42a = 31 + 42a Combine like terms: -63 + 12 = -51 -51 + 42a = 31 + 42a Add '-42a' to each side of the equation. -51 + 42a + -42a = 31 + 42a + -42a Combine like terms: 42a + -42a = 0 -51 + 0 = 31 + 42a + -42a -51 = 31 + 42a + -42a Combine like terms: 42a + -42a = 0 -51 = 31 + 0 -51 = 31 Solving -51 = 31 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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