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Simplifying 4(w + -1) = 7w + 5 + -3(w + -3) Reorder the terms: 4(-1 + w) = 7w + 5 + -3(w + -3) (-1 * 4 + w * 4) = 7w + 5 + -3(w + -3) (-4 + 4w) = 7w + 5 + -3(w + -3) Reorder the terms: -4 + 4w = 7w + 5 + -3(-3 + w) -4 + 4w = 7w + 5 + (-3 * -3 + w * -3) -4 + 4w = 7w + 5 + (9 + -3w) Reorder the terms: -4 + 4w = 5 + 9 + 7w + -3w Combine like terms: 5 + 9 = 14 -4 + 4w = 14 + 7w + -3w Combine like terms: 7w + -3w = 4w -4 + 4w = 14 + 4w Add '-4w' to each side of the equation. -4 + 4w + -4w = 14 + 4w + -4w Combine like terms: 4w + -4w = 0 -4 + 0 = 14 + 4w + -4w -4 = 14 + 4w + -4w Combine like terms: 4w + -4w = 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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