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Simplifying 17 = 5(w + 3) + -3w Reorder the terms: 17 = 5(3 + w) + -3w 17 = (3 * 5 + w * 5) + -3w 17 = (15 + 5w) + -3w Combine like terms: 5w + -3w = 2w 17 = 15 + 2w Solving 17 = 15 + 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 = 15 + 2w + -2w Combine like terms: 2w + -2w = 0 17 + -2w = 15 + 0 17 + -2w = 15 Add '-17' to each side of the equation. 17 + -17 + -2w = 15 + -17 Combine like terms: 17 + -17 = 0 0 + -2w = 15 + -17 -2w = 15 + -17 Combine like terms: 15 + -17 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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