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Simplifying 5w + 5 = 4w + 12 Reorder the terms: 5 + 5w = 4w + 12 Reorder the terms: 5 + 5w = 12 + 4w Solving 5 + 5w = 12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 5 + 5w + -4w = 12 + 4w + -4w Combine like terms: 5w + -4w = 1w 5 + 1w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 5 + 1w = 12 + 0 5 + 1w = 12 Add '-5' to each side of the equation. 5 + -5 + 1w = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = 12 + -5 1w = 12 + -5 Combine like terms: 12 + -5 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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