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