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Simplifying 4 = -5w + 3(w + 4) Reorder the terms: 4 = -5w + 3(4 + w) 4 = -5w + (4 * 3 + w * 3) 4 = -5w + (12 + 3w) Reorder the terms: 4 = 12 + -5w + 3w Combine like terms: -5w + 3w = -2w 4 = 12 + -2w Solving 4 = 12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 4 + 2w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 4 + 2w = 12 + 0 4 + 2w = 12 Add '-4' to each side of the equation. 4 + -4 + 2w = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2w = 12 + -4 2w = 12 + -4 Combine like terms: 12 + -4 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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