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Simplifying 4w + -2 = w + 7 Reorder the terms: -2 + 4w = w + 7 Reorder the terms: -2 + 4w = 7 + w Solving -2 + 4w = 7 + 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. -2 + 4w + -1w = 7 + w + -1w Combine like terms: 4w + -1w = 3w -2 + 3w = 7 + w + -1w Combine like terms: w + -1w = 0 -2 + 3w = 7 + 0 -2 + 3w = 7 Add '2' to each side of the equation. -2 + 2 + 3w = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 3w = 7 + 2 3w = 7 + 2 Combine like terms: 7 + 2 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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