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Simplifying 6w + 3 = 27 + 2w Reorder the terms: 3 + 6w = 27 + 2w Solving 3 + 6w = 27 + 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 + 6w + -2w = 27 + 2w + -2w Combine like terms: 6w + -2w = 4w 3 + 4w = 27 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + 4w = 27 + 0 3 + 4w = 27 Add '-3' to each side of the equation. 3 + -3 + 4w = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 27 + -3 4w = 27 + -3 Combine like terms: 27 + -3 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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