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Simplifying 3w + 6 = 2w + 12 Reorder the terms: 6 + 3w = 2w + 12 Reorder the terms: 6 + 3w = 12 + 2w Solving 6 + 3w = 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. 6 + 3w + -2w = 12 + 2w + -2w Combine like terms: 3w + -2w = 1w 6 + 1w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + 1w = 12 + 0 6 + 1w = 12 Add '-6' to each side of the equation. 6 + -6 + 1w = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1w = 12 + -6 1w = 12 + -6 Combine like terms: 12 + -6 = 6 1w = 6 Divide each side by '1'. w = 6 Simplifying w = 6
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