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Simplifying 3(w + 1) + 2w = 5(w + -1) + 5 Reorder the terms: 3(1 + w) + 2w = 5(w + -1) + 5 (1 * 3 + w * 3) + 2w = 5(w + -1) + 5 (3 + 3w) + 2w = 5(w + -1) + 5 Combine like terms: 3w + 2w = 5w 3 + 5w = 5(w + -1) + 5 Reorder the terms: 3 + 5w = 5(-1 + w) + 5 3 + 5w = (-1 * 5 + w * 5) + 5 3 + 5w = (-5 + 5w) + 5 Reorder the terms: 3 + 5w = -5 + 5 + 5w Combine like terms: -5 + 5 = 0 3 + 5w = 0 + 5w 3 + 5w = 5w Add '-5w' to each side of the equation. 3 + 5w + -5w = 5w + -5w Combine like terms: 5w + -5w = 0 3 + 0 = 5w + -5w 3 = 5w + -5w Combine like terms: 5w + -5w = 0 3 = 0 Solving 3 = 0 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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