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Simplifying 3w + 16 = -9w + -20 Reorder the terms: 16 + 3w = -9w + -20 Reorder the terms: 16 + 3w = -20 + -9w Solving 16 + 3w = -20 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 16 + 3w + 9w = -20 + -9w + 9w Combine like terms: 3w + 9w = 12w 16 + 12w = -20 + -9w + 9w Combine like terms: -9w + 9w = 0 16 + 12w = -20 + 0 16 + 12w = -20 Add '-16' to each side of the equation. 16 + -16 + 12w = -20 + -16 Combine like terms: 16 + -16 = 0 0 + 12w = -20 + -16 12w = -20 + -16 Combine like terms: -20 + -16 = -36 12w = -36 Divide each side by '12'. w = -3 Simplifying w = -3
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