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Simplifying 4w + 7 = 5w + -1 + -1w Reorder the terms: 7 + 4w = 5w + -1 + -1w Reorder the terms: 7 + 4w = -1 + 5w + -1w Combine like terms: 5w + -1w = 4w 7 + 4w = -1 + 4w Add '-4w' to each side of the equation. 7 + 4w + -4w = -1 + 4w + -4w Combine like terms: 4w + -4w = 0 7 + 0 = -1 + 4w + -4w 7 = -1 + 4w + -4w Combine like terms: 4w + -4w = 0 7 = -1 + 0 7 = -1 Solving 7 = -1 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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