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Simplifying -3(w + 1) + 7w = 4(w + 1) + -5 Reorder the terms: -3(1 + w) + 7w = 4(w + 1) + -5 (1 * -3 + w * -3) + 7w = 4(w + 1) + -5 (-3 + -3w) + 7w = 4(w + 1) + -5 Combine like terms: -3w + 7w = 4w -3 + 4w = 4(w + 1) + -5 Reorder the terms: -3 + 4w = 4(1 + w) + -5 -3 + 4w = (1 * 4 + w * 4) + -5 -3 + 4w = (4 + 4w) + -5 Reorder the terms: -3 + 4w = 4 + -5 + 4w Combine like terms: 4 + -5 = -1 -3 + 4w = -1 + 4w Add '-4w' to each side of the equation. -3 + 4w + -4w = -1 + 4w + -4w Combine like terms: 4w + -4w = 0 -3 + 0 = -1 + 4w + -4w -3 = -1 + 4w + -4w Combine like terms: 4w + -4w = 0 -3 = -1 + 0 -3 = -1 Solving -3 = -1 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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