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Simplifying 2w + -5 = 13 + -1w Reorder the terms: -5 + 2w = 13 + -1w Solving -5 + 2w = 13 + -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 = 13 + -1w + w Combine like terms: 2w + w = 3w -5 + 3w = 13 + -1w + w Combine like terms: -1w + w = 0 -5 + 3w = 13 + 0 -5 + 3w = 13 Add '5' to each side of the equation. -5 + 5 + 3w = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 3w = 13 + 5 3w = 13 + 5 Combine like terms: 13 + 5 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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