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Simplifying 40 + 2w = 7w Solving 40 + 2w = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 40 + 2w + -7w = 7w + -7w Combine like terms: 2w + -7w = -5w 40 + -5w = 7w + -7w Combine like terms: 7w + -7w = 0 40 + -5w = 0 Add '-40' to each side of the equation. 40 + -40 + -5w = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -5w = 0 + -40 -5w = 0 + -40 Combine like terms: 0 + -40 = -40 -5w = -40 Divide each side by '-5'. w = 8 Simplifying w = 8
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