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Simplifying 7(w + 2) = 54 + -2w Reorder the terms: 7(2 + w) = 54 + -2w (2 * 7 + w * 7) = 54 + -2w (14 + 7w) = 54 + -2w Solving 14 + 7w = 54 + -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. 14 + 7w + 2w = 54 + -2w + 2w Combine like terms: 7w + 2w = 9w 14 + 9w = 54 + -2w + 2w Combine like terms: -2w + 2w = 0 14 + 9w = 54 + 0 14 + 9w = 54 Add '-14' to each side of the equation. 14 + -14 + 9w = 54 + -14 Combine like terms: 14 + -14 = 0 0 + 9w = 54 + -14 9w = 54 + -14 Combine like terms: 54 + -14 = 40 9w = 40 Divide each side by '9'. w = 4.444444444 Simplifying w = 4.444444444
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