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Simplifying a + b + c + d = [(a + b) + d] + c Remove parenthesis around (a + b) a + b + c + d = [a + b + d] + c Remove brackets around [a + b + d] a + b + c + d = a + b + d + c Reorder the terms: a + b + c + d = a + b + c + d Add '-1a' to each side of the equation. a + b + c + -1a + d = a + b + c + -1a + d Reorder the terms: a + -1a + b + c + d = a + b + c + -1a + d Combine like terms: a + -1a = 0 0 + b + c + d = a + b + c + -1a + d b + c + d = a + b + c + -1a + d Reorder the terms: b + c + d = a + -1a + b + c + d Combine like terms: a + -1a = 0 b + c + d = 0 + b + c + d b + c + d = b + c + d Add '-1b' to each side of the equation. b + c + -1b + d = b + c + -1b + d Reorder the terms: b + -1b + c + d = b + c + -1b + d Combine like terms: b + -1b = 0 0 + c + d = b + c + -1b + d c + d = b + c + -1b + d Reorder the terms: c + d = b + -1b + c + d Combine like terms: b + -1b = 0 c + d = 0 + c + d c + d = c + d Add '-1c' to each side of the equation. c + -1c + d = c + -1c + d Combine like terms: c + -1c = 0 0 + d = c + -1c + d d = c + -1c + d Combine like terms: c + -1c = 0 d = 0 + d d = d Add '-1d' to each side of the equation. d + -1d = d + -1d Combine like terms: d + -1d = 0 0 = d + -1d Combine like terms: d + -1d = 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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