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Simplifying 17 = 5(w + 5) + -3w Reorder the terms: 17 = 5(5 + w) + -3w 17 = (5 * 5 + w * 5) + -3w 17 = (25 + 5w) + -3w Combine like terms: 5w + -3w = 2w 17 = 25 + 2w Solving 17 = 25 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 17 + -2w = 25 + 2w + -2w Combine like terms: 2w + -2w = 0 17 + -2w = 25 + 0 17 + -2w = 25 Add '-17' to each side of the equation. 17 + -17 + -2w = 25 + -17 Combine like terms: 17 + -17 = 0 0 + -2w = 25 + -17 -2w = 25 + -17 Combine like terms: 25 + -17 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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