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Simplifying 2w + -7 = w + 8 Reorder the terms: -7 + 2w = w + 8 Reorder the terms: -7 + 2w = 8 + w Solving -7 + 2w = 8 + 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. -7 + 2w + -1w = 8 + w + -1w Combine like terms: 2w + -1w = 1w -7 + 1w = 8 + w + -1w Combine like terms: w + -1w = 0 -7 + 1w = 8 + 0 -7 + 1w = 8 Add '7' to each side of the equation. -7 + 7 + 1w = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 1w = 8 + 7 1w = 8 + 7 Combine like terms: 8 + 7 = 15 1w = 15 Divide each side by '1'. w = 15 Simplifying w = 15
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