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Simplifying w + -28 + w = w + 37 Reorder the terms: -28 + w + w = w + 37 Combine like terms: w + w = 2w -28 + 2w = w + 37 Reorder the terms: -28 + 2w = 37 + w Solving -28 + 2w = 37 + 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. -28 + 2w + -1w = 37 + w + -1w Combine like terms: 2w + -1w = 1w -28 + 1w = 37 + w + -1w Combine like terms: w + -1w = 0 -28 + 1w = 37 + 0 -28 + 1w = 37 Add '28' to each side of the equation. -28 + 28 + 1w = 37 + 28 Combine like terms: -28 + 28 = 0 0 + 1w = 37 + 28 1w = 37 + 28 Combine like terms: 37 + 28 = 65 1w = 65 Divide each side by '1'. w = 65 Simplifying w = 65
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