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Simplifying -3w + 4w + 7 = -4w + 2 Reorder the terms: 7 + -3w + 4w = -4w + 2 Combine like terms: -3w + 4w = 1w 7 + 1w = -4w + 2 Reorder the terms: 7 + 1w = 2 + -4w Solving 7 + 1w = 2 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 7 + 1w + 4w = 2 + -4w + 4w Combine like terms: 1w + 4w = 5w 7 + 5w = 2 + -4w + 4w Combine like terms: -4w + 4w = 0 7 + 5w = 2 + 0 7 + 5w = 2 Add '-7' to each side of the equation. 7 + -7 + 5w = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 5w = 2 + -7 5w = 2 + -7 Combine like terms: 2 + -7 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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