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Simplifying 7 = -7w + 5(w + 3) Reorder the terms: 7 = -7w + 5(3 + w) 7 = -7w + (3 * 5 + w * 5) 7 = -7w + (15 + 5w) Reorder the terms: 7 = 15 + -7w + 5w Combine like terms: -7w + 5w = -2w 7 = 15 + -2w Solving 7 = 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. 7 + 2w = 15 + -2w + 2w Combine like terms: -2w + 2w = 0 7 + 2w = 15 + 0 7 + 2w = 15 Add '-7' to each side of the equation. 7 + -7 + 2w = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 15 + -7 2w = 15 + -7 Combine like terms: 15 + -7 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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