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Simplifying 7(w + 4) = 16 + 4w Reorder the terms: 7(4 + w) = 16 + 4w (4 * 7 + w * 7) = 16 + 4w (28 + 7w) = 16 + 4w Solving 28 + 7w = 16 + 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. 28 + 7w + -4w = 16 + 4w + -4w Combine like terms: 7w + -4w = 3w 28 + 3w = 16 + 4w + -4w Combine like terms: 4w + -4w = 0 28 + 3w = 16 + 0 28 + 3w = 16 Add '-28' to each side of the equation. 28 + -28 + 3w = 16 + -28 Combine like terms: 28 + -28 = 0 0 + 3w = 16 + -28 3w = 16 + -28 Combine like terms: 16 + -28 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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