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Simplifying 5w + -5 = w + 7 Reorder the terms: -5 + 5w = w + 7 Reorder the terms: -5 + 5w = 7 + w Solving -5 + 5w = 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 + 5w + -1w = 7 + w + -1w Combine like terms: 5w + -1w = 4w -5 + 4w = 7 + w + -1w Combine like terms: w + -1w = 0 -5 + 4w = 7 + 0 -5 + 4w = 7 Add '5' to each side of the equation. -5 + 5 + 4w = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4w = 7 + 5 4w = 7 + 5 Combine like terms: 7 + 5 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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