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Simplifying 7(a + -1) + -1 + -1a = 6(a + 1) Reorder the terms: 7(-1 + a) + -1 + -1a = 6(a + 1) (-1 * 7 + a * 7) + -1 + -1a = 6(a + 1) (-7 + 7a) + -1 + -1a = 6(a + 1) Reorder the terms: -7 + -1 + 7a + -1a = 6(a + 1) Combine like terms: -7 + -1 = -8 -8 + 7a + -1a = 6(a + 1) Combine like terms: 7a + -1a = 6a -8 + 6a = 6(a + 1) Reorder the terms: -8 + 6a = 6(1 + a) -8 + 6a = (1 * 6 + a * 6) -8 + 6a = (6 + 6a) Add '-6a' to each side of the equation. -8 + 6a + -6a = 6 + 6a + -6a Combine like terms: 6a + -6a = 0 -8 + 0 = 6 + 6a + -6a -8 = 6 + 6a + -6a Combine like terms: 6a + -6a = 0 -8 = 6 + 0 -8 = 6 Solving -8 = 6 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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