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Simplifying -5 + 2w = -1w + 3 Reorder the terms: -5 + 2w = 3 + -1w Solving -5 + 2w = 3 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -5 + 2w + w = 3 + -1w + w Combine like terms: 2w + w = 3w -5 + 3w = 3 + -1w + w Combine like terms: -1w + w = 0 -5 + 3w = 3 + 0 -5 + 3w = 3 Add '5' to each side of the equation. -5 + 5 + 3w = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 3w = 3 + 5 3w = 3 + 5 Combine like terms: 3 + 5 = 8 3w = 8 Divide each side by '3'. w = 2.666666667 Simplifying w = 2.666666667
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