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Simplifying 40 + 5w = 70 + 2w Solving 40 + 5w = 70 + 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 + 5w + -2w = 70 + 2w + -2w Combine like terms: 5w + -2w = 3w 40 + 3w = 70 + 2w + -2w Combine like terms: 2w + -2w = 0 40 + 3w = 70 + 0 40 + 3w = 70 Add '-40' to each side of the equation. 40 + -40 + 3w = 70 + -40 Combine like terms: 40 + -40 = 0 0 + 3w = 70 + -40 3w = 70 + -40 Combine like terms: 70 + -40 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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