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