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Simplifying 8w + -5 + 16 = 65 + 2w Reorder the terms: -5 + 16 + 8w = 65 + 2w Combine like terms: -5 + 16 = 11 11 + 8w = 65 + 2w Solving 11 + 8w = 65 + 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. 11 + 8w + -2w = 65 + 2w + -2w Combine like terms: 8w + -2w = 6w 11 + 6w = 65 + 2w + -2w Combine like terms: 2w + -2w = 0 11 + 6w = 65 + 0 11 + 6w = 65 Add '-11' to each side of the equation. 11 + -11 + 6w = 65 + -11 Combine like terms: 11 + -11 = 0 0 + 6w = 65 + -11 6w = 65 + -11 Combine like terms: 65 + -11 = 54 6w = 54 Divide each side by '6'. w = 9 Simplifying w = 9
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