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Simplifying 12w + -5 + -3w = 40 Reorder the terms: -5 + 12w + -3w = 40 Combine like terms: 12w + -3w = 9w -5 + 9w = 40 Solving -5 + 9w = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 9w = 40 + 5 Combine like terms: -5 + 5 = 0 0 + 9w = 40 + 5 9w = 40 + 5 Combine like terms: 40 + 5 = 45 9w = 45 Divide each side by '9'. w = 5 Simplifying w = 5
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