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Simplifying 10 + 7w = 3w + 50 Reorder the terms: 10 + 7w = 50 + 3w Solving 10 + 7w = 50 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 10 + 7w + -3w = 50 + 3w + -3w Combine like terms: 7w + -3w = 4w 10 + 4w = 50 + 3w + -3w Combine like terms: 3w + -3w = 0 10 + 4w = 50 + 0 10 + 4w = 50 Add '-10' to each side of the equation. 10 + -10 + 4w = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 4w = 50 + -10 4w = 50 + -10 Combine like terms: 50 + -10 = 40 4w = 40 Divide each side by '4'. w = 10 Simplifying w = 10
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