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Simplifying 5 = 3(w + 3) + -5w Reorder the terms: 5 = 3(3 + w) + -5w 5 = (3 * 3 + w * 3) + -5w 5 = (9 + 3w) + -5w Combine like terms: 3w + -5w = -2w 5 = 9 + -2w Solving 5 = 9 + -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. 5 + 2w = 9 + -2w + 2w Combine like terms: -2w + 2w = 0 5 + 2w = 9 + 0 5 + 2w = 9 Add '-5' to each side of the equation. 5 + -5 + 2w = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 9 + -5 2w = 9 + -5 Combine like terms: 9 + -5 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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