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Simplifying 10 + w = 40 + -4w Solving 10 + w = 40 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 10 + w + 4w = 40 + -4w + 4w Combine like terms: w + 4w = 5w 10 + 5w = 40 + -4w + 4w Combine like terms: -4w + 4w = 0 10 + 5w = 40 + 0 10 + 5w = 40 Add '-10' to each side of the equation. 10 + -10 + 5w = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 5w = 40 + -10 5w = 40 + -10 Combine like terms: 40 + -10 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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