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Simplifying 4w + 4 = 5w + 7 Reorder the terms: 4 + 4w = 5w + 7 Reorder the terms: 4 + 4w = 7 + 5w Solving 4 + 4w = 7 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 4 + 4w + -5w = 7 + 5w + -5w Combine like terms: 4w + -5w = -1w 4 + -1w = 7 + 5w + -5w Combine like terms: 5w + -5w = 0 4 + -1w = 7 + 0 4 + -1w = 7 Add '-4' to each side of the equation. 4 + -4 + -1w = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 7 + -4 -1w = 7 + -4 Combine like terms: 7 + -4 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3
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