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Simplifying 5w + 12 = 3w + 18 Reorder the terms: 12 + 5w = 3w + 18 Reorder the terms: 12 + 5w = 18 + 3w Solving 12 + 5w = 18 + 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. 12 + 5w + -3w = 18 + 3w + -3w Combine like terms: 5w + -3w = 2w 12 + 2w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + 2w = 18 + 0 12 + 2w = 18 Add '-12' to each side of the equation. 12 + -12 + 2w = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 18 + -12 2w = 18 + -12 Combine like terms: 18 + -12 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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