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Simplifying 3 = 5(w + 3) + -7w Reorder the terms: 3 = 5(3 + w) + -7w 3 = (3 * 5 + w * 5) + -7w 3 = (15 + 5w) + -7w Combine like terms: 5w + -7w = -2w 3 = 15 + -2w Solving 3 = 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. 3 + 2w = 15 + -2w + 2w Combine like terms: -2w + 2w = 0 3 + 2w = 15 + 0 3 + 2w = 15 Add '-3' to each side of the equation. 3 + -3 + 2w = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 15 + -3 2w = 15 + -3 Combine like terms: 15 + -3 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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