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Simplifying 2a + -1(4a + -1[2(a + 1) + 4]) = 2a + -1(4a + -1[2(a + 1) + 4]) Reorder the terms: 2a + -1(4a + -1[2(1 + a) + 4]) = 2a + -1(4a + -1[2(a + 1) + 4]) 2a + -1(4a + -1[(1 * 2 + a * 2) + 4]) = 2a + -1(4a + -1[2(a + 1) + 4]) 2a + -1(4a + -1[(2 + 2a) + 4]) = 2a + -1(4a + -1[2(a + 1) + 4]) Reorder the terms: 2a + -1(4a + -1[2 + 4 + 2a]) = 2a + -1(4a + -1[2(a + 1) + 4]) Combine like terms: 2 + 4 = 6 2a + -1(4a + -1[6 + 2a]) = 2a + -1(4a + -1[2(a + 1) + 4]) 2a + -1(4a + [6 * -1 + 2a * -1]) = 2a + -1(4a + -1[2(a + 1) + 4]) 2a + -1(4a + [-6 + -2a]) = 2a + -1(4a + -1[2(a + 1) + 4]) Reorder the terms: 2a + -1(-6 + 4a + -2a) = 2a + -1(4a + -1[2(a + 1) + 4]) Combine like terms: 4a + -2a = 2a 2a + -1(-6 + 2a) = 2a + -1(4a + -1[2(a + 1) + 4]) 2a + (-6 * -1 + 2a * -1) = 2a + -1(4a + -1[2(a + 1) + 4]) 2a + (6 + -2a) = 2a + -1(4a + -1[2(a + 1) + 4]) Reorder the terms: 6 + 2a + -2a = 2a + -1(4a + -1[2(a + 1) + 4]) Combine like terms: 2a + -2a = 0 6 + 0 = 2a + -1(4a + -1[2(a + 1) + 4]) 6 = 2a + -1(4a + -1[2(a + 1) + 4]) Reorder the terms: 6 = 2a + -1(4a + -1[2(1 + a) + 4]) 6 = 2a + -1(4a + -1[(1 * 2 + a * 2) + 4]) 6 = 2a + -1(4a + -1[(2 + 2a) + 4]) Reorder the terms: 6 = 2a + -1(4a + -1[2 + 4 + 2a]) Combine like terms: 2 + 4 = 6 6 = 2a + -1(4a + -1[6 + 2a]) 6 = 2a + -1(4a + [6 * -1 + 2a * -1]) 6 = 2a + -1(4a + [-6 + -2a]) Reorder the terms: 6 = 2a + -1(-6 + 4a + -2a) Combine like terms: 4a + -2a = 2a 6 = 2a + -1(-6 + 2a) 6 = 2a + (-6 * -1 + 2a * -1) 6 = 2a + (6 + -2a) Reorder the terms: 6 = 6 + 2a + -2a Combine like terms: 2a + -2a = 0 6 = 6 + 0 6 = 6 Add '-6' to each side of the equation. 6 + -6 = 6 + -6 Combine like terms: 6 + -6 = 0 0 = 6 + -6 Combine like terms: 6 + -6 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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