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Simplifying 7w + 4 = 4w + -2 Reorder the terms: 4 + 7w = 4w + -2 Reorder the terms: 4 + 7w = -2 + 4w Solving 4 + 7w = -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. 4 + 7w + -4w = -2 + 4w + -4w Combine like terms: 7w + -4w = 3w 4 + 3w = -2 + 4w + -4w Combine like terms: 4w + -4w = 0 4 + 3w = -2 + 0 4 + 3w = -2 Add '-4' to each side of the equation. 4 + -4 + 3w = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 3w = -2 + -4 3w = -2 + -4 Combine like terms: -2 + -4 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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