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Simplifying 5w2 + -2w + -5w2 + -15w = w + -2 Reorder the terms: -2w + -15w + 5w2 + -5w2 = w + -2 Combine like terms: -2w + -15w = -17w -17w + 5w2 + -5w2 = w + -2 Combine like terms: 5w2 + -5w2 = 0 -17w + 0 = w + -2 -17w = w + -2 Reorder the terms: -17w = -2 + w Solving -17w = -2 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -17w + -1w = -2 + w + -1w Combine like terms: -17w + -1w = -18w -18w = -2 + w + -1w Combine like terms: w + -1w = 0 -18w = -2 + 0 -18w = -2 Divide each side by '-18'. w = 0.1111111111 Simplifying w = 0.1111111111
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