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Simplifying 7w + 16 = 2(w + 3) Reorder the terms: 16 + 7w = 2(w + 3) Reorder the terms: 16 + 7w = 2(3 + w) 16 + 7w = (3 * 2 + w * 2) 16 + 7w = (6 + 2w) Solving 16 + 7w = 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 + 7w + -2w = 6 + 2w + -2w Combine like terms: 7w + -2w = 5w 16 + 5w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 16 + 5w = 6 + 0 16 + 5w = 6 Add '-16' to each side of the equation. 16 + -16 + 5w = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 5w = 6 + -16 5w = 6 + -16 Combine like terms: 6 + -16 = -10 5w = -10 Divide each side by '5'. w = -2 Simplifying w = -2
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