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Simplifying 5w + 2 = 3w + 12 Reorder the terms: 2 + 5w = 3w + 12 Reorder the terms: 2 + 5w = 12 + 3w Solving 2 + 5w = 12 + 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 + 5w + -3w = 12 + 3w + -3w Combine like terms: 5w + -3w = 2w 2 + 2w = 12 + 3w + -3w Combine like terms: 3w + -3w = 0 2 + 2w = 12 + 0 2 + 2w = 12 Add '-2' to each side of the equation. 2 + -2 + 2w = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = 12 + -2 2w = 12 + -2 Combine like terms: 12 + -2 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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