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Simplifying -3(w + 5) + 5w = 2(w + 6) Reorder the terms: -3(5 + w) + 5w = 2(w + 6) (5 * -3 + w * -3) + 5w = 2(w + 6) (-15 + -3w) + 5w = 2(w + 6) Combine like terms: -3w + 5w = 2w -15 + 2w = 2(w + 6) Reorder the terms: -15 + 2w = 2(6 + w) -15 + 2w = (6 * 2 + w * 2) -15 + 2w = (12 + 2w) Add '-2w' to each side of the equation. -15 + 2w + -2w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 + 0 = 12 + 2w + -2w -15 = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 = 12 + 0 -15 = 12 Solving -15 = 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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