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Simplifying 8w + -43 = 83 + 2w Reorder the terms: -43 + 8w = 83 + 2w Solving -43 + 8w = 83 + 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. -43 + 8w + -2w = 83 + 2w + -2w Combine like terms: 8w + -2w = 6w -43 + 6w = 83 + 2w + -2w Combine like terms: 2w + -2w = 0 -43 + 6w = 83 + 0 -43 + 6w = 83 Add '43' to each side of the equation. -43 + 43 + 6w = 83 + 43 Combine like terms: -43 + 43 = 0 0 + 6w = 83 + 43 6w = 83 + 43 Combine like terms: 83 + 43 = 126 6w = 126 Divide each side by '6'. w = 21 Simplifying w = 21
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