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Simplifying 40 + 3w = 10 + 5w Solving 40 + 3w = 10 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 40 + 3w + -5w = 10 + 5w + -5w Combine like terms: 3w + -5w = -2w 40 + -2w = 10 + 5w + -5w Combine like terms: 5w + -5w = 0 40 + -2w = 10 + 0 40 + -2w = 10 Add '-40' to each side of the equation. 40 + -40 + -2w = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -2w = 10 + -40 -2w = 10 + -40 Combine like terms: 10 + -40 = -30 -2w = -30 Divide each side by '-2'. w = 15 Simplifying w = 15
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