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Simplifying 4w + 5 = 5w + 12 Reorder the terms: 5 + 4w = 5w + 12 Reorder the terms: 5 + 4w = 12 + 5w Solving 5 + 4w = 12 + 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. 5 + 4w + -5w = 12 + 5w + -5w Combine like terms: 4w + -5w = -1w 5 + -1w = 12 + 5w + -5w Combine like terms: 5w + -5w = 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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