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Simplifying 16 = 2w + 3(w + 7) Reorder the terms: 16 = 2w + 3(7 + w) 16 = 2w + (7 * 3 + w * 3) 16 = 2w + (21 + 3w) Reorder the terms: 16 = 21 + 2w + 3w Combine like terms: 2w + 3w = 5w 16 = 21 + 5w Solving 16 = 21 + 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. 16 + -5w = 21 + 5w + -5w Combine like terms: 5w + -5w = 0 16 + -5w = 21 + 0 16 + -5w = 21 Add '-16' to each side of the equation. 16 + -16 + -5w = 21 + -16 Combine like terms: 16 + -16 = 0 0 + -5w = 21 + -16 -5w = 21 + -16 Combine like terms: 21 + -16 = 5 -5w = 5 Divide each side by '-5'. w = -1 Simplifying w = -1
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