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Simplifying 5(w + 1) + -7 = 3(w + -1) + 2w Reorder the terms: 5(1 + w) + -7 = 3(w + -1) + 2w (1 * 5 + w * 5) + -7 = 3(w + -1) + 2w (5 + 5w) + -7 = 3(w + -1) + 2w Reorder the terms: 5 + -7 + 5w = 3(w + -1) + 2w Combine like terms: 5 + -7 = -2 -2 + 5w = 3(w + -1) + 2w Reorder the terms: -2 + 5w = 3(-1 + w) + 2w -2 + 5w = (-1 * 3 + w * 3) + 2w -2 + 5w = (-3 + 3w) + 2w Combine like terms: 3w + 2w = 5w -2 + 5w = -3 + 5w Add '-5w' to each side of the equation. -2 + 5w + -5w = -3 + 5w + -5w Combine like terms: 5w + -5w = 0 -2 + 0 = -3 + 5w + -5w -2 = -3 + 5w + -5w Combine like terms: 5w + -5w = 0 -2 = -3 + 0 -2 = -3 Solving -2 = -3 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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