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Simplifying 2w + 49 = 7(w + 2) Reorder the terms: 49 + 2w = 7(w + 2) Reorder the terms: 49 + 2w = 7(2 + w) 49 + 2w = (2 * 7 + w * 7) 49 + 2w = (14 + 7w) Solving 49 + 2w = 14 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 49 + 2w + -7w = 14 + 7w + -7w Combine like terms: 2w + -7w = -5w 49 + -5w = 14 + 7w + -7w Combine like terms: 7w + -7w = 0 49 + -5w = 14 + 0 49 + -5w = 14 Add '-49' to each side of the equation. 49 + -49 + -5w = 14 + -49 Combine like terms: 49 + -49 = 0 0 + -5w = 14 + -49 -5w = 14 + -49 Combine like terms: 14 + -49 = -35 -5w = -35 Divide each side by '-5'. w = 7 Simplifying w = 7
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