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Simplifying 3w + 4 + -1w = 5w + -2 Reorder the terms: 4 + 3w + -1w = 5w + -2 Combine like terms: 3w + -1w = 2w 4 + 2w = 5w + -2 Reorder the terms: 4 + 2w = -2 + 5w Solving 4 + 2w = -2 + 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 = -2 + 5w + -5w Combine like terms: 2w + -5w = -3w 4 + -3w = -2 + 5w + -5w Combine like terms: 5w + -5w = 0 4 + -3w = -2 + 0 4 + -3w = -2 Add '-4' to each side of the equation. 4 + -4 + -3w = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = -2 + -4 -3w = -2 + -4 Combine like terms: -2 + -4 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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