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Simplifying 4(w + 5) + -2 = -1w + 5(w + 4) Reorder the terms: 4(5 + w) + -2 = -1w + 5(w + 4) (5 * 4 + w * 4) + -2 = -1w + 5(w + 4) (20 + 4w) + -2 = -1w + 5(w + 4) Reorder the terms: 20 + -2 + 4w = -1w + 5(w + 4) Combine like terms: 20 + -2 = 18 18 + 4w = -1w + 5(w + 4) Reorder the terms: 18 + 4w = -1w + 5(4 + w) 18 + 4w = -1w + (4 * 5 + w * 5) 18 + 4w = -1w + (20 + 5w) Reorder the terms: 18 + 4w = 20 + -1w + 5w Combine like terms: -1w + 5w = 4w 18 + 4w = 20 + 4w Add '-4w' to each side of the equation. 18 + 4w + -4w = 20 + 4w + -4w Combine like terms: 4w + -4w = 0 18 + 0 = 20 + 4w + -4w 18 = 20 + 4w + -4w Combine like terms: 4w + -4w = 0 18 = 20 + 0 18 = 20 Solving 18 = 20 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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