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Simplifying w + 7 = 2w + 5 Reorder the terms: 7 + w = 2w + 5 Reorder the terms: 7 + w = 5 + 2w Solving 7 + w = 5 + 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. 7 + w + -2w = 5 + 2w + -2w Combine like terms: w + -2w = -1w 7 + -1w = 5 + 2w + -2w Combine like terms: 2w + -2w = 0 7 + -1w = 5 + 0 7 + -1w = 5 Add '-7' to each side of the equation. 7 + -7 + -1w = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 5 + -7 -1w = 5 + -7 Combine like terms: 5 + -7 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2
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