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Simplifying 4w + 42 = w + 48 Reorder the terms: 42 + 4w = w + 48 Reorder the terms: 42 + 4w = 48 + w Solving 42 + 4w = 48 + 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. 42 + 4w + -1w = 48 + w + -1w Combine like terms: 4w + -1w = 3w 42 + 3w = 48 + w + -1w Combine like terms: w + -1w = 0 42 + 3w = 48 + 0 42 + 3w = 48 Add '-42' to each side of the equation. 42 + -42 + 3w = 48 + -42 Combine like terms: 42 + -42 = 0 0 + 3w = 48 + -42 3w = 48 + -42 Combine like terms: 48 + -42 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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