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Simplifying 3w + 4 + -1w = 5w + 7 + -1m Reorder the terms: 4 + 3w + -1w = 5w + 7 + -1m Combine like terms: 3w + -1w = 2w 4 + 2w = 5w + 7 + -1m Reorder the terms: 4 + 2w = 7 + -1m + 5w Solving 4 + 2w = 7 + -1m + 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 + 2w + -5w = 7 + -1m + 5w + -5w Combine like terms: 2w + -5w = -3w 4 + -3w = 7 + -1m + 5w + -5w Combine like terms: 5w + -5w = 0 4 + -3w = 7 + -1m + 0 4 + -3w = 7 + -1m Add '-4' to each side of the equation. 4 + -4 + -3w = 7 + -4 + -1m Combine like terms: 4 + -4 = 0 0 + -3w = 7 + -4 + -1m -3w = 7 + -4 + -1m Combine like terms: 7 + -4 = 3 -3w = 3 + -1m Divide each side by '-3'. w = -1 + 0.3333333333m Simplifying w = -1 + 0.3333333333m
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