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Simplifying 5 = 5(w + 3) + -7w Reorder the terms: 5 = 5(3 + w) + -7w 5 = (3 * 5 + w * 5) + -7w 5 = (15 + 5w) + -7w Combine like terms: 5w + -7w = -2w 5 = 15 + -2w Solving 5 = 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. 5 + 2w = 15 + -2w + 2w Combine like terms: -2w + 2w = 0 5 + 2w = 15 + 0 5 + 2w = 15 Add '-5' to each side of the equation. 5 + -5 + 2w = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 15 + -5 2w = 15 + -5 Combine like terms: 15 + -5 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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