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Simplifying 4 = 5w + 7(w + 4) Reorder the terms: 4 = 5w + 7(4 + w) 4 = 5w + (4 * 7 + w * 7) 4 = 5w + (28 + 7w) Reorder the terms: 4 = 28 + 5w + 7w Combine like terms: 5w + 7w = 12w 4 = 28 + 12w Solving 4 = 28 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 4 + -12w = 28 + 12w + -12w Combine like terms: 12w + -12w = 0 4 + -12w = 28 + 0 4 + -12w = 28 Add '-4' to each side of the equation. 4 + -4 + -12w = 28 + -4 Combine like terms: 4 + -4 = 0 0 + -12w = 28 + -4 -12w = 28 + -4 Combine like terms: 28 + -4 = 24 -12w = 24 Divide each side by '-12'. w = -2 Simplifying w = -2
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