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Simplifying 4 = -7w + 5(w + 2) Reorder the terms: 4 = -7w + 5(2 + w) 4 = -7w + (2 * 5 + w * 5) 4 = -7w + (10 + 5w) Reorder the terms: 4 = 10 + -7w + 5w Combine like terms: -7w + 5w = -2w 4 = 10 + -2w Solving 4 = 10 + -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. 4 + 2w = 10 + -2w + 2w Combine like terms: -2w + 2w = 0 4 + 2w = 10 + 0 4 + 2w = 10 Add '-4' to each side of the equation. 4 + -4 + 2w = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2w = 10 + -4 2w = 10 + -4 Combine like terms: 10 + -4 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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