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Simplifying 5(w + -5) + 10 = 2w + 3(w + 1) Reorder the terms: 5(-5 + w) + 10 = 2w + 3(w + 1) (-5 * 5 + w * 5) + 10 = 2w + 3(w + 1) (-25 + 5w) + 10 = 2w + 3(w + 1) Reorder the terms: -25 + 10 + 5w = 2w + 3(w + 1) Combine like terms: -25 + 10 = -15 -15 + 5w = 2w + 3(w + 1) Reorder the terms: -15 + 5w = 2w + 3(1 + w) -15 + 5w = 2w + (1 * 3 + w * 3) -15 + 5w = 2w + (3 + 3w) Reorder the terms: -15 + 5w = 3 + 2w + 3w Combine like terms: 2w + 3w = 5w -15 + 5w = 3 + 5w Add '-5w' to each side of the equation. -15 + 5w + -5w = 3 + 5w + -5w Combine like terms: 5w + -5w = 0 -15 + 0 = 3 + 5w + -5w -15 = 3 + 5w + -5w Combine like terms: 5w + -5w = 0 -15 = 3 + 0 -15 = 3 Solving -15 = 3 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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