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Simplifying 11 = 5(w + 3) + -7w Reorder the terms: 11 = 5(3 + w) + -7w 11 = (3 * 5 + w * 5) + -7w 11 = (15 + 5w) + -7w Combine like terms: 5w + -7w = -2w 11 = 15 + -2w Solving 11 = 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. 11 + 2w = 15 + -2w + 2w Combine like terms: -2w + 2w = 0 11 + 2w = 15 + 0 11 + 2w = 15 Add '-11' to each side of the equation. 11 + -11 + 2w = 15 + -11 Combine like terms: 11 + -11 = 0 0 + 2w = 15 + -11 2w = 15 + -11 Combine like terms: 15 + -11 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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