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Simplifying 7w + -40 = 5 + -2w Reorder the terms: -40 + 7w = 5 + -2w Solving -40 + 7w = 5 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -40 + 7w + 2w = 5 + -2w + 2w Combine like terms: 7w + 2w = 9w -40 + 9w = 5 + -2w + 2w Combine like terms: -2w + 2w = 0 -40 + 9w = 5 + 0 -40 + 9w = 5 Add '40' to each side of the equation. -40 + 40 + 9w = 5 + 40 Combine like terms: -40 + 40 = 0 0 + 9w = 5 + 40 9w = 5 + 40 Combine like terms: 5 + 40 = 45 9w = 45 Divide each side by '9'. w = 5 Simplifying w = 5
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