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