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Simplifying 3w + 42 = 2w + 54 Reorder the terms: 42 + 3w = 2w + 54 Reorder the terms: 42 + 3w = 54 + 2w Solving 42 + 3w = 54 + 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. 42 + 3w + -2w = 54 + 2w + -2w Combine like terms: 3w + -2w = 1w 42 + 1w = 54 + 2w + -2w Combine like terms: 2w + -2w = 0 42 + 1w = 54 + 0 42 + 1w = 54 Add '-42' to each side of the equation. 42 + -42 + 1w = 54 + -42 Combine like terms: 42 + -42 = 0 0 + 1w = 54 + -42 1w = 54 + -42 Combine like terms: 54 + -42 = 12 1w = 12 Divide each side by '1'. w = 12 Simplifying w = 12
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