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Simplifying 2w + -54 = -1w + 21 Reorder the terms: -54 + 2w = -1w + 21 Reorder the terms: -54 + 2w = 21 + -1w Solving -54 + 2w = 21 + -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. -54 + 2w + w = 21 + -1w + w Combine like terms: 2w + w = 3w -54 + 3w = 21 + -1w + w Combine like terms: -1w + w = 0 -54 + 3w = 21 + 0 -54 + 3w = 21 Add '54' to each side of the equation. -54 + 54 + 3w = 21 + 54 Combine like terms: -54 + 54 = 0 0 + 3w = 21 + 54 3w = 21 + 54 Combine like terms: 21 + 54 = 75 3w = 75 Divide each side by '3'. w = 25 Simplifying w = 25
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