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Simplifying 6w + 21 = 2w + -23 Reorder the terms: 21 + 6w = 2w + -23 Reorder the terms: 21 + 6w = -23 + 2w Solving 21 + 6w = -23 + 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. 21 + 6w + -2w = -23 + 2w + -2w Combine like terms: 6w + -2w = 4w 21 + 4w = -23 + 2w + -2w Combine like terms: 2w + -2w = 0 21 + 4w = -23 + 0 21 + 4w = -23 Add '-21' to each side of the equation. 21 + -21 + 4w = -23 + -21 Combine like terms: 21 + -21 = 0 0 + 4w = -23 + -21 4w = -23 + -21 Combine like terms: -23 + -21 = -44 4w = -44 Divide each side by '4'. w = -11 Simplifying w = -11
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