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Simplifying 3w + -5 = w + 14 Reorder the terms: -5 + 3w = w + 14 Reorder the terms: -5 + 3w = 14 + w Solving -5 + 3w = 14 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -5 + 3w + -1w = 14 + w + -1w Combine like terms: 3w + -1w = 2w -5 + 2w = 14 + w + -1w Combine like terms: w + -1w = 0 -5 + 2w = 14 + 0 -5 + 2w = 14 Add '5' to each side of the equation. -5 + 5 + 2w = 14 + 5 Combine like terms: -5 + 5 = 0 0 + 2w = 14 + 5 2w = 14 + 5 Combine like terms: 14 + 5 = 19 2w = 19 Divide each side by '2'. w = 9.5 Simplifying w = 9.5
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