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Simplifying 5w + 16 = -3w Reorder the terms: 16 + 5w = -3w Solving 16 + 5w = -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. 16 + 5w + 3w = -3w + 3w Combine like terms: 5w + 3w = 8w 16 + 8w = -3w + 3w Combine like terms: -3w + 3w = 0 16 + 8w = 0 Add '-16' to each side of the equation. 16 + -16 + 8w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8w = 0 + -16 8w = 0 + -16 Combine like terms: 0 + -16 = -16 8w = -16 Divide each side by '8'. w = -2 Simplifying w = -2
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