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Simplifying 16 = 3(w + 2) + -5w Reorder the terms: 16 = 3(2 + w) + -5w 16 = (2 * 3 + w * 3) + -5w 16 = (6 + 3w) + -5w Combine like terms: 3w + -5w = -2w 16 = 6 + -2w Solving 16 = 6 + -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. 16 + 2w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 16 + 2w = 6 + 0 16 + 2w = 6 Add '-16' to each side of the equation. 16 + -16 + 2w = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 2w = 6 + -16 2w = 6 + -16 Combine like terms: 6 + -16 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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