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Simplifying 5(w + -7) = w + 4(w + 1) Reorder the terms: 5(-7 + w) = w + 4(w + 1) (-7 * 5 + w * 5) = w + 4(w + 1) (-35 + 5w) = w + 4(w + 1) Reorder the terms: -35 + 5w = w + 4(1 + w) -35 + 5w = w + (1 * 4 + w * 4) -35 + 5w = w + (4 + 4w) Reorder the terms: -35 + 5w = 4 + w + 4w Combine like terms: w + 4w = 5w -35 + 5w = 4 + 5w Add '-5w' to each side of the equation. -35 + 5w + -5w = 4 + 5w + -5w Combine like terms: 5w + -5w = 0 -35 + 0 = 4 + 5w + -5w -35 = 4 + 5w + -5w Combine like terms: 5w + -5w = 0 -35 = 4 + 0 -35 = 4 Solving -35 = 4 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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