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Simplifying 31 + 6w + 2w + -18 = 9w + 18 + -1w + -5 Reorder the terms: 31 + -18 + 6w + 2w = 9w + 18 + -1w + -5 Combine like terms: 31 + -18 = 13 13 + 6w + 2w = 9w + 18 + -1w + -5 Combine like terms: 6w + 2w = 8w 13 + 8w = 9w + 18 + -1w + -5 Reorder the terms: 13 + 8w = 18 + -5 + 9w + -1w Combine like terms: 18 + -5 = 13 13 + 8w = 13 + 9w + -1w Combine like terms: 9w + -1w = 8w 13 + 8w = 13 + 8w Add '-13' to each side of the equation. 13 + -13 + 8w = 13 + -13 + 8w Combine like terms: 13 + -13 = 0 0 + 8w = 13 + -13 + 8w 8w = 13 + -13 + 8w Combine like terms: 13 + -13 = 0 8w = 0 + 8w 8w = 8w Add '-8w' to each side of the equation. 8w + -8w = 8w + -8w Combine like terms: 8w + -8w = 0 0 = 8w + -8w Combine like terms: 8w + -8w = 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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