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Simplifying a + (a + -4) = (a + 5) + -1(-1a + 1) Reorder the terms: a + (-4 + a) = (a + 5) + -1(-1a + 1) Remove parenthesis around (-4 + a) a + -4 + a = (a + 5) + -1(-1a + 1) Reorder the terms: -4 + a + a = (a + 5) + -1(-1a + 1) Combine like terms: a + a = 2a -4 + 2a = (a + 5) + -1(-1a + 1) Reorder the terms: -4 + 2a = (5 + a) + -1(-1a + 1) Remove parenthesis around (5 + a) -4 + 2a = 5 + a + -1(-1a + 1) Reorder the terms: -4 + 2a = 5 + a + -1(1 + -1a) -4 + 2a = 5 + a + (1 * -1 + -1a * -1) -4 + 2a = 5 + a + (-1 + 1a) Reorder the terms: -4 + 2a = 5 + -1 + a + 1a Combine like terms: 5 + -1 = 4 -4 + 2a = 4 + a + 1a Combine like terms: a + 1a = 2a -4 + 2a = 4 + 2a Add '-2a' to each side of the equation. -4 + 2a + -2a = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 -4 + 0 = 4 + 2a + -2a -4 = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 -4 = 4 + 0 -4 = 4 Solving -4 = 4 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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