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Simplifying 4(w + 1) + 3w = w + 4 Reorder the terms: 4(1 + w) + 3w = w + 4 (1 * 4 + w * 4) + 3w = w + 4 (4 + 4w) + 3w = w + 4 Combine like terms: 4w + 3w = 7w 4 + 7w = w + 4 Reorder the terms: 4 + 7w = 4 + w Add '-4' to each side of the equation. 4 + -4 + 7w = 4 + -4 + w Combine like terms: 4 + -4 = 0 0 + 7w = 4 + -4 + w 7w = 4 + -4 + w Combine like terms: 4 + -4 = 0 7w = 0 + w 7w = w Solving 7w = 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. 7w + -1w = w + -1w Combine like terms: 7w + -1w = 6w 6w = w + -1w Combine like terms: w + -1w = 0 6w = 0 Divide each side by '6'. w = 0 Simplifying w = 0
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