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Simplifying 4w + -12 = w + 42 Reorder the terms: -12 + 4w = w + 42 Reorder the terms: -12 + 4w = 42 + w Solving -12 + 4w = 42 + 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. -12 + 4w + -1w = 42 + w + -1w Combine like terms: 4w + -1w = 3w -12 + 3w = 42 + w + -1w Combine like terms: w + -1w = 0 -12 + 3w = 42 + 0 -12 + 3w = 42 Add '12' to each side of the equation. -12 + 12 + 3w = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 3w = 42 + 12 3w = 42 + 12 Combine like terms: 42 + 12 = 54 3w = 54 Divide each side by '3'. w = 18 Simplifying w = 18
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