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Simplifying 2w + -5 = w + -7 Reorder the terms: -5 + 2w = w + -7 Reorder the terms: -5 + 2w = -7 + w Solving -5 + 2w = -7 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -5 + 2w + -1w = -7 + w + -1w Combine like terms: 2w + -1w = 1w -5 + 1w = -7 + w + -1w Combine like terms: w + -1w = 0 -5 + 1w = -7 + 0 -5 + 1w = -7 Add '5' to each side of the equation. -5 + 5 + 1w = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 1w = -7 + 5 1w = -7 + 5 Combine like terms: -7 + 5 = -2 1w = -2 Divide each side by '1'. w = -2 Simplifying w = -2
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