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Simplifying 3w + 12 = 2w + 26 Reorder the terms: 12 + 3w = 2w + 26 Reorder the terms: 12 + 3w = 26 + 2w Solving 12 + 3w = 26 + 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. 12 + 3w + -2w = 26 + 2w + -2w Combine like terms: 3w + -2w = 1w 12 + 1w = 26 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + 1w = 26 + 0 12 + 1w = 26 Add '-12' to each side of the equation. 12 + -12 + 1w = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 1w = 26 + -12 1w = 26 + -12 Combine like terms: 26 + -12 = 14 1w = 14 Divide each side by '1'. w = 14 Simplifying w = 14
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