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Simplifying 4(w + 1) + w = 5(w + 1) + 9 Reorder the terms: 4(1 + w) + w = 5(w + 1) + 9 (1 * 4 + w * 4) + w = 5(w + 1) + 9 (4 + 4w) + w = 5(w + 1) + 9 Combine like terms: 4w + w = 5w 4 + 5w = 5(w + 1) + 9 Reorder the terms: 4 + 5w = 5(1 + w) + 9 4 + 5w = (1 * 5 + w * 5) + 9 4 + 5w = (5 + 5w) + 9 Reorder the terms: 4 + 5w = 5 + 9 + 5w Combine like terms: 5 + 9 = 14 4 + 5w = 14 + 5w Add '-5w' to each side of the equation. 4 + 5w + -5w = 14 + 5w + -5w Combine like terms: 5w + -5w = 0 4 + 0 = 14 + 5w + -5w 4 = 14 + 5w + -5w Combine like terms: 5w + -5w = 0 4 = 14 + 0 4 = 14 Solving 4 = 14 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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