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Simplifying 7w + -6 = 3(w + 4) + 4w Reorder the terms: -6 + 7w = 3(w + 4) + 4w Reorder the terms: -6 + 7w = 3(4 + w) + 4w -6 + 7w = (4 * 3 + w * 3) + 4w -6 + 7w = (12 + 3w) + 4w Combine like terms: 3w + 4w = 7w -6 + 7w = 12 + 7w Add '-7w' to each side of the equation. -6 + 7w + -7w = 12 + 7w + -7w Combine like terms: 7w + -7w = 0 -6 + 0 = 12 + 7w + -7w -6 = 12 + 7w + -7w Combine like terms: 7w + -7w = 0 -6 = 12 + 0 -6 = 12 Solving -6 = 12 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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