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Simplifying 7(w + 5) = 56 + 4w Reorder the terms: 7(5 + w) = 56 + 4w (5 * 7 + w * 7) = 56 + 4w (35 + 7w) = 56 + 4w Solving 35 + 7w = 56 + 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. 35 + 7w + -4w = 56 + 4w + -4w Combine like terms: 7w + -4w = 3w 35 + 3w = 56 + 4w + -4w Combine like terms: 4w + -4w = 0 35 + 3w = 56 + 0 35 + 3w = 56 Add '-35' to each side of the equation. 35 + -35 + 3w = 56 + -35 Combine like terms: 35 + -35 = 0 0 + 3w = 56 + -35 3w = 56 + -35 Combine like terms: 56 + -35 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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