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Simplifying 7w + 45 = 5(w + 7) Reorder the terms: 45 + 7w = 5(w + 7) Reorder the terms: 45 + 7w = 5(7 + w) 45 + 7w = (7 * 5 + w * 5) 45 + 7w = (35 + 5w) Solving 45 + 7w = 35 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 45 + 7w + -5w = 35 + 5w + -5w Combine like terms: 7w + -5w = 2w 45 + 2w = 35 + 5w + -5w Combine like terms: 5w + -5w = 0 45 + 2w = 35 + 0 45 + 2w = 35 Add '-45' to each side of the equation. 45 + -45 + 2w = 35 + -45 Combine like terms: 45 + -45 = 0 0 + 2w = 35 + -45 2w = 35 + -45 Combine like terms: 35 + -45 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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