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