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Simplifying 5w + 3 = 2w + 12 Reorder the terms: 3 + 5w = 2w + 12 Reorder the terms: 3 + 5w = 12 + 2w Solving 3 + 5w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 3 + 5w + -2w = 12 + 2w + -2w Combine like terms: 5w + -2w = 3w 3 + 3w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + 3w = 12 + 0 3 + 3w = 12 Add '-3' to each side of the equation. 3 + -3 + 3w = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3w = 12 + -3 3w = 12 + -3 Combine like terms: 12 + -3 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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