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Simplifying w + 14 = 2w + 7 Reorder the terms: 14 + w = 2w + 7 Reorder the terms: 14 + w = 7 + 2w Solving 14 + w = 7 + 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 + w + -2w = 7 + 2w + -2w Combine like terms: w + -2w = -1w 14 + -1w = 7 + 2w + -2w Combine like terms: 2w + -2w = 0 14 + -1w = 7 + 0 14 + -1w = 7 Add '-14' to each side of the equation. 14 + -14 + -1w = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -1w = 7 + -14 -1w = 7 + -14 Combine like terms: 7 + -14 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7
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