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