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Simplifying 7w + 2 = 3w + 10 Reorder the terms: 2 + 7w = 3w + 10 Reorder the terms: 2 + 7w = 10 + 3w Solving 2 + 7w = 10 + 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. 2 + 7w + -3w = 10 + 3w + -3w Combine like terms: 7w + -3w = 4w 2 + 4w = 10 + 3w + -3w Combine like terms: 3w + -3w = 0 2 + 4w = 10 + 0 2 + 4w = 10 Add '-2' to each side of the equation. 2 + -2 + 4w = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = 10 + -2 4w = 10 + -2 Combine like terms: 10 + -2 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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