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Simplifying -16 = -8w + 3(w + 8) Reorder the terms: -16 = -8w + 3(8 + w) -16 = -8w + (8 * 3 + w * 3) -16 = -8w + (24 + 3w) Reorder the terms: -16 = 24 + -8w + 3w Combine like terms: -8w + 3w = -5w -16 = 24 + -5w Solving -16 = 24 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -16 + 5w = 24 + -5w + 5w Combine like terms: -5w + 5w = 0 -16 + 5w = 24 + 0 -16 + 5w = 24 Add '16' to each side of the equation. -16 + 16 + 5w = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 5w = 24 + 16 5w = 24 + 16 Combine like terms: 24 + 16 = 40 5w = 40 Divide each side by '5'. w = 8 Simplifying w = 8
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