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Simplifying 3w + -51 = 2w Reorder the terms: -51 + 3w = 2w Solving -51 + 3w = 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -51 + 3w + -2w = 2w + -2w Combine like terms: 3w + -2w = 1w -51 + 1w = 2w + -2w Combine like terms: 2w + -2w = 0 -51 + 1w = 0 Add '51' to each side of the equation. -51 + 51 + 1w = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 1w = 0 + 51 1w = 0 + 51 Combine like terms: 0 + 51 = 51 1w = 51 Divide each side by '1'. w = 51 Simplifying w = 51
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